Ineed to find the approximate sum.

135 to nearest whole number.

Step-by-step explanation:

∑ 5(4/3)^(k-1)   from k = 1 to k = 8.

First term = 5 , second term = 5*4/3

This is a Geometric series with first term a1 = 5 and common ratio r  = 4/3.

The sum of n terms = a1(r^n - 1) / (r - 1).

The sum of 8 terms is given by  5 * (4/3)^8 - 1) /  ( 4/3 - 1)

= 135 to the nearest whole number.