Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is $a_5$ for the sequence below? $a_n = 5 \\cdot 2^{(n - 1)}$

Question

what is $a_5$ for the sequence below? $a_n = 5 \cdot 2^{(n - 1)}$

Explanation:

Step1: Substitute n=5 into formula

$a_5 = 5 \cdot 2^{(5-1)}$

Step2: Simplify the exponent

$a_5 = 5 \cdot 2^{4}$

Step3: Calculate the power term

$a_5 = 5 \cdot 16$

Step4: Compute the final product

$a_5 = 80$

Answer:

D. $a_5 = 80$