Question

Question 6 of 15 (1 point) Attempt 1 of Unlimited th Find then term a, of a sequence whose first four terms are given. 8, 64, 512, 4096, ... a O 8 n Х

Answer 1

A sequance is geometric when ratio of concecutive terms are equal . here ratio are equal. so this is a geometric sequance . nth term of ageometric sequance with first term a and common ratio r is

$\large a_n=ar^{n-1}$

here a=8

r is ration between second and first term . so r=64/8=8 so n th term is

$\large a_n=8*8^{n-1}=8^n$

so answer is

$\LARGE \boldsymbol{a_n=8^n}$