Question

What is the value of A when we rewrite (5/2)^x + (5/2)^x+3 as A x (5/2)^x?
A =

Answer 1

A = 16.625

Explanation:

Given :-

• (5/2)^x + (5/2)^( x +3)

To rewrite in :-

• A. (5/2)^x

Answer :-

• (5/2)^x + (5/2)^(x+3)
• (5/2)^x + (5/2)^x . (5/2)³
• (5/2)^x { 1 + (5/2)³ }

Hence :-

• A = 1 + (5/2)³
• A = 1+ 125/8
• A = 8 + 125/8
• A = 133/8
• A = 16.625