Write an nth term rule for r=3 and ${a}_{1}=4$

piacolgatis
2022-10-05
Answered

Write an nth term rule for r=3 and ${a}_{1}=4$

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Leslie Braun

Answered 2022-10-06
Author has **7** answers

If $a}_{1$ is the first term of a geometric sequence and r is the common ratio, then the $n}^{th$ term $a}_{n$ is given by

$a}_{n}={a}_{1}\times {r}^{n-1}=4\times {3}^{n-1$

$a}_{n}={a}_{1}\times {r}^{n-1}=4\times {3}^{n-1$

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Which of these sequences are geometric sequences?

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2) $100,-50,25,-12.5,6.25,-3.125,1.5625,-0.78125,...$

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2) $100,-50,25,-12.5,6.25,-3.125,1.5625,-0.78125,...$

3) $1,1,2,3,5,8,11,...$

4) $3,6,9,12,15,18,21,\dots $

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