Question

What is the explicit formula for the geometric sequence with the recursive formula?

Answer 1

A is the answer for this question

Answer 2

Answer:

Option A. $a_{n}=(-7)(\frac{1}{3} )^{n-1}$

Step-by-step explanation:

Recursive formula of the geometric sequence is given as $a_{1}=(-7)$

and $a_{n}=\frac{1}{3}(a_{n-1})$

From these formulas it is clear that first term of the sequence a1 = -7

and common ratio of the sequence = $\frac{1}{3}$

Since explicit formula of any geometric sequence is represented by

$a_{n}=a_{1}(r)^{n-1}$

Therefore, $a_{n}=(-7)(\frac{1}{3} )^{n-1}$ will be the explicit formula of the given geometric sequence.