# Recent questions tagged value

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Find the 20th term of the sequence $2,5,10,17,26,37, \ldots$
Find the 20th term of the sequence $2,5,10,17,26,37, \ldots$Find the 20th term of the sequence \ 2,5,10,17,26,37, \ldots \ ...
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Find the 10th and 100th terms of the sequence $3,5,7,9,11, \ldots$
Find the 10th and 100th terms of the sequence $3,5,7,9,11, \ldots$Find the 10th and 100th terms of the sequence $3,5,7,9,11, \ldots$ ...
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Calculate the nth term of the sequence $x(1+i) ; x(1+i)^2;x(1+i)^3; ...$
Calculate the nth term of the sequence $x(1+i) ; x(1+i)^2;x(1+i)^3; ...$Calculate the nth term of the sequence $x(1+i) ; x(1+i)^2;x(1+i)^3; ...$ ...
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What kind of payloads can drones carry?
What kind of payloads can drones carry?What kind of payloads can drones carry? ...
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What kind of tasks can drones be used for?
What kind of tasks can drones be used for?What kind of tasks can drones be used for? ...
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How do you write the nth term rule for the sequence $1,3,5,7,9, \ldots ?$
How do you write the nth term rule for the sequence $1,3,5,7,9, \ldots ?$How do you write the nth term rule for the sequence $1,3,5,7,9, \ldots ?$ ...
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What is a virtual currency?
What is a virtual currency?What is a virtual currency? ...
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Find an expression for the nth term of the sequence $3,7,11,15,19, \ldots$
Find an expression for the nth term of the sequence $3,7,11,15,19, \ldots$Find an expression for the &nbsp;nth term of the sequence $3,7,11,15,19, \ldots$ ...
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Find an expression for the $n$th term of the sequence. $10,50,250,1250, \ldots$
Find an expression for the $n$th term of the sequence. $10,50,250,1250, \ldots$Find an expression for the $n$th term of the sequence. &nbsp;$10,50,250,1250, \ldots$ ...
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Find an expression for the $n$th term of the sequence. $2,4,6,8, \ldots$
Find an expression for the $n$th term of the sequence. $2,4,6,8, \ldots$Find an expression for the $n$th term of the sequence. &nbsp;$2,4,6,8, \ldots$ ...
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Write the first five terms of $a_{n}=2\left(3^{n-1}\right)$
Write the first five terms of $a_{n}=2\left(3^{n-1}\right)$Write the first five terms of $a_{n}=2\left(3^{n-1}\right)$ ...
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Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$
Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$ ...
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Find the value of $\mathrm{k}$ if the constant term in the expansion $\left(\mathrm{k} x-\frac{1}{x^{2}}\right)^{6}$ is 240 .
Find the value of $\mathrm{k}$ if the constant term in the expansion $\left(\mathrm{k} x-\frac{1}{x^{2}}\right)^{6}$ is 240 .Find the value of $\mathrm{k}$ if the constant term in the expansion $\left(\mathrm{k} x-\frac{1}{x^{2}}\right)^{6}$ is 240 . ...
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Find a formula in terms of $n$ for $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$. Simplify your answer fully.
Find a formula in terms of $n$ for $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$. Simplify your answer fully. Find a formula in terms of $n$ for $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$. Simplify your answer fully. &nbsp; NB: You may find the following ...
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Find the sum of the first three terms of $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$
Find the sum of the first three terms of $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$\begin{aligned} &amp;\text { Find the sum of the first three terms of } \sum_{r=1}^{n}\left(3 r^{2}+r-2\right) \text {. } \end{aligned} ...
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The Mean Value Theorem does not apply to
The Mean Value Theorem does not apply toThe Mean Value Theorem does not apply to &nbsp; A. $f(x)=\frac{x}{x^{2}-4}$ on $0,1$, B. $f(x)=\frac{x}{x^{2}+4}$ on $0,1$, C. $f(x)=\frac{\sq ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The function$f(x)=\frac{x^{3}-6 x}{x^{2}-4}$is 0 answers 7 views The function$f(x)=\frac{x^{3}-6 x}{x^{2}-4}$isThe function$f(x)=\dfrac{x^{3}-6 x}{x^{2}-4}$is &nbsp; A. even and has two vertical asymptotes, B. odd and has two vertical asymptotes, C. even ... close 0 answers 10 views Determine, giving reasons, whether the sequence$\left\{a_{n}\right\}=\left\{\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right\}$is convergent or divergent. If it is convergent, find the value to which it converges.Determine, giving reasons, whether the sequence$\left\{a_{n}\right\}=\left\{\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right\}$is convergent or diverge ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty} \dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}$0 answers 9 views Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty} \dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}$Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty} \dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n}\left(\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right)^{n}$0 answers 9 views Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n}\left(\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right)^{n}$Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n}\left(\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right)^{n}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine whether the series$\sum_{n \geq 1} \dfrac{1}{\sqrt{n^{3}}}$converges or diverges. Give a reason for your answer. 0 answers 7 views Determine whether the series$\sum_{n \geq 1} \dfrac{1}{\sqrt{n^{3}}}$converges or diverges. Give a reason for your answer. Determine whether the series$\sum_{n \geq 1} \dfrac{1}{\sqrt{n^{3}}}$converges or diverges. Give a reason for your answer. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Decide (with reasons) if the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n} \frac{5-n+3 n^{2}}{7 n^{2}-19}$0 answers 13 views Decide (with reasons) if the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n} \frac{5-n+3 n^{2}}{7 n^{2}-19}$Decide (with reasons) if the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n} \frac{5-n+3 n^{2}}{7 n^{2}-19}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Decide (with reasons) if the following series converge or diverge.$\sum_{n=1}^{\infty}\left(\frac{5-n+3 n^{2}}{7 n^{2}-19}\right)^{n}$0 answers 7 views Decide (with reasons) if the following series converge or diverge.$\sum_{n=1}^{\infty}\left(\frac{5-n+3 n^{2}}{7 n^{2}-19}\right)^{n}$Decide (with reasons) if the following series converge or diverge.$\sum_{n=1}^{\infty}\left(\frac{5-n+3 n^{2}}{7 n^{2}-19}\right)^{n}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that$\int_{-\infty}^{\infty} \frac{e^{x}}{e^{2 x}-e^{-2 x}} d x$is an improper integral, its convergence and its value can be found by considering 0 answers 8 views Given that$\int_{-\infty}^{\infty} \frac{e^{x}}{e^{2 x}-e^{-2 x}} d x$is an improper integral, its convergence and its value can be found by consideringGiven that$\int_{-\infty}^{\infty} \frac{e^{x}}{e^{2 x}-e^{-2 x}} d x$is an improper integral, its convergence and its value can be found by conside ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine if the following series converge$\sum_{n=1}^{\infty} 3^{3 n} 7^{2-n}$0 answers 9 views Determine if the following series converge$\sum_{n=1}^{\infty} 3^{3 n} 7^{2-n}$Determine if the following series converge$\sum_{n=1}^{\infty} 3^{3 n} 7^{2-n}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine if the following series converge$\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^{2}}$0 answers 11 views Determine if the following series converge$\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^{2}}$Determine if the following series converge$\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^{2}}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is a first order initial value problem? 1 answer 13 views What is a first order initial value problem?What is a first order initial value problem? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the initial value problem$\dot{y}=t^{n}$with$y(0)=1$and$n \geq 0$. 0 answers 7 views Solve the initial value problem$\dot{y}=t^{n}$with$y(0)=1$and$n \geq 0$.Solve the initial value problem$\dot{y}=t^{n}$with$y(0)=1$and$n \geq 0$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve$\dot{y}=\ln t$0 answers 6 views Solve$\dot{y}=\ln t$Solve$\dot{y}=\ln t$... close 0 answers 14 views Find a non-constant solution of the initial value problem$\dot{y}=y^{1 / 3}, y(0)=0$, using separation of variables. Note that the constant function$y(t)=0$also solves the initial value problem.Find a non-constant solution of the initial value problem$\dot{y}=y^{1 / 3}, y(0)=0$, using separation of variables. Note that the constant function ... close 0 answers 3 views A radioactive substance obeys the equation$\dot{y}=k y$where$k<0$and$y$is the mass of the substance at time$t$. Suppose that initially, the mass of the substance is$y(0)=M>0 .$A radioactive substance obeys the equation$\dot{y}=k y$where$k&lt;0$and$y$is the mass of the substance at time$t$. Suppose that initially, the ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the initial value problems$\dot{y}+y \cos t=0, y(0)=1 / 2$and$y(2)=1 / 2$. 1 answer 6 views Solve the initial value problems$\dot{y}+y \cos t=0, y(0)=1 / 2$and$y(2)=1 / 2$. Solve the initial value problems$\dot{y}+y \cos t=0, y(0)=1 / 2$and$y(2)=1 / 2$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the initial value problem$t \dot{y}+3 y=0, y(1)=2$, assuming$t>0$. 1 answer 6 views Solve the initial value problem$t \dot{y}+3 y=0, y(1)=2$, assuming$t>0$. Solve the initial value problem$t \dot{y}+3 y=0, y(1)=2$, assuming$t&gt;0$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at$t=0$, find the amount of the element at time$t .$0 answers 10 views A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at$t=0$, find the amount of the element at time$t .$A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at$t=0\$, find the amount of the element at ...
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What is $f(x) = \dfrac{x}{x-1}$ for $x = 1$?
What is $f(x) = \dfrac{x}{x-1}$ for $x = 1$?What is $f(x) = \dfrac{x}{x-1}$ for $x = 1$? ...
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Determine the value of the number shown rounded to each digit's place value
Determine the value of the number shown rounded to each digit's place value &nbsp;Determine the value of the number shown rounded to each digit&#39;s place value &nbsp; ...
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Interactive Quiz: Are you good with place value?
Interactive Quiz: Are you good with place value?Are you good with place value? ...
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Can someone show me how to determine the place value of each digit of a number
Can someone show me how to determine the place value of each digit of a numberCan someone show me how to determine the place value of each digit of a number ...
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A school buys tablets at a total cost of R140 000. If the average rate of inflation is $6,1 \%$ per annum over the next 4 years, determine the cost of replacing these tablets in 4 years' time.A school buys tablets at a total cost of R140 000. If the average rate of inflation is $6,1 \%$ per annum over the next 4 years, determine the cost ...
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The value of a property increased from R145 000 to R221 292,32 over 6 years. Calculate the average annual rate of increase of the property over 6 years.
The value of a property increased from R145 000 to R221 292,32 over 6 years. Calculate the average annual rate of increase of the property over 6 years.The value of a property increased from R145 000 to R221 292,32 over 6 years. Calculate the average annual rate of increase of the property over 6 year ...
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A machine costs R25 000 in 2016 . Calculate the book value of the machine after 4 years if it depreciates at $9 \%$ p.a. according to the reducing balance method.
A machine costs R25 000 in 2016 . Calculate the book value of the machine after 4 years if it depreciates at $9 \%$ p.a. according to the reducing balance method.A machine costs R25 000 in 2016 . Calculate the book value of the machine after 4 years if it depreciates at $9 \%$ p.a. according to the reducing b ...
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Karabo bought a computer for R4 700 . The value of the computer depreciated at a rate of $18 \%$ p.a. Using the reducing-balance method, calculate the book value of the computer 4 years after it was bought.Karabo bought a computer for R4 700 . The value of the computer depreciated at a rate of $18 \%$ p.a. Using the reducing-balance method, calculate t ...
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If $2+6+18+\ldots=728$, determine the value of $n$.
If $2+6+18+\ldots=728$, determine the value of $n$.If $2+6+18+\ldots=728$, determine the value of $n$. ...
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Determine $3+6+12+24+\ldots$ to 10 terms.
Determine $3+6+12+24+\ldots$ to 10 terms.Determine $3+6+12+24+\ldots$ to 10 terms. ...
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The sum of $\mathrm{n}$ terms is given by $S_{n}=\frac{n}{2}(1+n)$. Determine $T_{5}$.
The sum of $\mathrm{n}$ terms is given by $S_{n}=\frac{n}{2}(1+n)$. Determine $T_{5}$.The sum of $\mathrm{n}$ terms is given by $S_{n}=\frac{n}{2}(1+n)$. Determine $T_{5}$. ...
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Given the arithmetic sequence $-3 ; 1 ; 5 ; \ldots, 393$
Given the arithmetic sequence $-3 ; 1 ; 5 ; \ldots, 393$Given the arithmetic sequence $-3 ; 1 ; 5 ; \ldots, 393$ a) Determine a formula for the $n^{\text {th }}$ term of the sequence. b) Write down the ...
Determine the $10^{\text {th }}$ term of the sequence: $3 ; 6 ; 12 ; \ldots$
Determine the $10^{\text {th }}$ term of the sequence: $3 ; 6 ; 12 ; \ldots$a) Determine the $10^{\text {th }}$ term of the sequence: $3 ; 6 ; 12 ; \ldots$ b) Determine the number of terms in the sequence: $2 ; 4 ; 8 ; \ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given the sequence \(6 ; 13 ; 20 ; \ldots$
Given the sequence $6 ; 13 ; 20 ; \ldots$Given the sequence $6 ; 13 ; 20 ; \ldots$ a) Determine a formula for the $n^{\text {th }}$ term of the sequence. b) Calculate the $21^{\text {st ... close 0 answers 14 views The U.S. federal debt at the end of 2001 was \(\ 5.77$ trillion, and grew to $\ 6.20$ trillion by the end of 2002 . At the end of 2005 it was $\ 7.91$ trillion, and grew to $\ 8.45$ trillion by the end of $2006^{3}$.The U.S. federal debt at the end of 2001 was $\ 5.77$ trillion, and grew to $\ 6.20$ trillion by the end of 2002 . At the end of 2005 it was $\ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The value of a car dropped from \(\ 7400$ to $\ 6800$ over the last year. What percent decrease is this?
The value of a car dropped from $\ 7400$ to $\ 6800$ over the last year. What percent decrease is this?The value of a car dropped from $\ 7400$ to $\ 6800$ over the last year. What percent decrease is this? ...