Question

What is the explicit formula for this sequence?

Answer 1

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

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

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

$a(n) = 5( {2})^{n - 1}$

Hope this helps you