How to find the general term of a geometric sequence

Asked by admin @ 29/10/2021 in Mathematics viewed by 274 People

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the following sequence with the given first term, a1, and common ratio, r. find a8 when a1=5, and r=3

Answered by admin @ 29/10/2021

Answer:

a8=10935

Step-by-step explanation:

A geometric sequece is a sequence of the form

$a_n=a\cdit r^{n-1}$

in our case we know that $a=a_1=5$ and $r=3$ , hence

$a_8=5 \cdot 3^7=10935$

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