# Recent questions tagged arithmetic

70
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What is the difference between arithmetic and mathematics?
92
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What is modular arithmetic?
85
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What is the fundamental theorem of arithmetic?
105
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What is the arithmetic mean?
83
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What is the palindrome of 66?
173
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What is arithmetic geometry?
138
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What is the name of the terms of the four essential arithmetic operations?
215
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Evaluate $$9^{\frac{ 150}{300}}$$
552
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What are the 4 types of math?
538
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What are axioms of arithmetic?
622
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What is geometric thinking ?
252
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Arithmetic - PHET Simulation
327
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$$8 ; 24 ; 72 ; \ldots \ldots$$a) Write down the next 3 terms of the sequence.b) Find the general term.c) Show by calculation whether 5832 is a term of this sequence or n...
466
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Consider the geometric sequence: $$\quad 8 x^2 ; 4 x^3 ; 2 x^4 ; \ldots \ldots \ldots$$(a) Show that the general term is given by $$\mathrm{T}_n=2^{4-n} \cdot x^{1+n}$$(b...
372
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Calculate the difference between $$S_{\infty}$$ and $$S_7$$ of $$4+\frac{4}{3}+\frac{4}{9}+\ldots$$
450
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The 3rd and 12th terms of an arithmetic progression are 12 and $$-24$$ respectively. Determine the 49th term.
530
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The 11th term of an arithmetic sequence is 32 and the sum of the first 11 terms is 187 . Calculate the 21st term.
501
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$$2 ; x ; y$$ are the first three terms of an arithmetic sequence. If the 2nd term is decreased by 1 , the three terms will form a geometric sequence. Calculate $$x$$ and...
326
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If $$\mathrm{T}_3=\frac{15}{16}, \mathrm{~T}_6=\frac{5}{18}$$ and the last term is $$\frac{40}{729}$$, find the number of terms in the sequence if the sequence is geometr...
455
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The 9 th term and the 6 th term of an geometric sequence are 80 and 10 respectively.(a) Find the first term and the constant ratio.(b) Find the number of terms if the las...
320
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Determine the first three terms of each of the following geometric sequences of which:(a) the 6th term is 28 and 11th term is 896 .(b) the 2 nd term is 3 and the 4 th ter...
855
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The first term and the last term of an arithmetic series is 5 and 61 respectively while the sum of all the terms is 957 . Determine the number of terms in the series.
661
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The 13th and 7th terms of an arithmetic sequence are 15 and 51 respectively.(a) Which term is equal to $$-21$$ ?(b) Show that 66 is not a term of the sequence.
344
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The 15 th and 3rd terms of an arithmetic sequence are 100 and 28 respectively. Determine the 100th term.
431
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Determine the first three terms of each of the following arithmetic sequences of which:(a) the 3rd term of the sequence is 23 and the 26th term is 230 .(b) the 5 th term ...
308
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Determine the first three terms of the geometric sequence of which the 7th term is 1458 and the 4th term is 54.
497
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The sum of the first 12 terms of an arithmetic series is 96 . The 3rd and 6th terms add up to 12 . Determine the first term and the common difference.
375
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Determine the first 3 terms of an arithmetic sequence if the 5 th term of the sequence is 12 and the 14 th term is $$-33$$. Hence determine the 40th term.
455
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Determine $$m$$ in each of the following arithmetic series:(a) $$\quad \sum_{k=1}^m(2)^{8-k}=255 \frac{1}{2}$$(b) $$\quad \sum_{p=1}^m(-8)\left(\frac{1}{2}\right)^{p-1}=-... 210 views 0 answers How many terms of the geometric sequence \(\frac{1}{27} ; \frac{1}{9} ; \frac{1}{3} ; \ldots$$
394
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How many terms of the geometric sequence $$64 ; 32 ; 16 ; \ldots$$ will add up to $$127 \frac{1}{2}$$ ?
200
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Evaluate: $$-9-6-4-\ldots .-1 \frac{5}{27}$$
424
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How many terms are there in the series $$-64-32-16-\ldots .-\frac{1}{32}$$. What is the sum of the series?
419
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Calculate the sum of the first 12 terms of the geometric sequence$\frac{1}{4} ;-\frac{1}{2} ; 1 ; \ldots .$
261
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How many terms of the geometric sequence $$-1 ; 2 ;-4 ; 8 ; \ldots$$. will add up to $$349525 ?$$
179
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Evaluate the geometric series: $$S_6=4+12+36+108+324+972$$
376
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How many terms of the arithmetic sequence $$4 ; 7 ; 10 ; 13 ; \ldots$$ will add up to 175 ?
157
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Evaluate the arithmetic series: $$S_8=3+5+7+9+11+13+15+17$$
520
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$$t+1 ; 1-t ; 1-5 t ; \ldots$$ are the first three terms of a geometric sequence.(a) Determine the numerical value of $$t$$ where $$t \neq 0$$.(b) Determine the sequence....
265
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$$x-4 ; x+2 ; 3 x+1 ; \ldots$$ are the first three terms of a geometric sequence. Determine the sequence if $$x$$ is positive.
427
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Consider the following sequences:sequence $$1: \quad \sqrt{2} ; 2 \sqrt{2} ; 3 \sqrt{2} ; \ldots \ldots . \quad$$ sequence $$2: \sqrt{2} ; 2 ; 2 \sqrt{2} ; \ldots \ldots ... 392 views 0 answers Consider the following sequence: 0,\(625 ; 1,25 ; 2,5 ; 5 ; \ldots .$$.(a) Determine the value of the 10th term.(b) Determine which term will equal 80 .
566
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Determine the number of terms in the sequence $$-\frac{3}{8} ; \frac{3}{4} ;-\frac{3}{2} ; \ldots .192$$
261
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Which term of the geometric sequence $$2 ; 6 ; 18 ; \ldots$$. is equal to 4374 ?
344
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Determine the 9th term for each of the following geometric sequences:(a) $$128 ; 64 ; 32 ; \ldots .$$.(b) 0,$$25 ; 0,5 ; 1 ; \ldots$$.(c) $$\frac{4}{9} ; 1 \frac{1}{3} ; ... 245 views 0 answers Determine the general term for each of the following geometric sequences:(a) \(2 ;-1 ; \frac{1}{2} ; \ldots$$.(b) $$2 ; 8 ; 32 ; \ldots .$$.(c) $$-\frac{2}{3} ; 2 ;-6 ; \... 550 views 1 answers \(k+1 ; k-1 ; 2 k-5$$ are the first three terms of a geometric sequence. Calculate the value of $$k$$ and hence determine the possible sequences.
Determine which term in the sequence $$4 ; 12 ; 36 ; 108 ; \ldots$$ is equal to 8748 .
Consider the following sequence $$-5 ; 10 ;-20 ; 40 ; \ldots$$(a) Show that the above sequence is geometric.(b) Determine the value of the 20 th term of the above sequenc...
Consider the geometric sequence $$2 ; 3 ; 4,5 ; 6,25 ; \ldots$$(a) Determine a formula for the general term of the sequence.(b) Find the value of the 15 th term.