Answer:
250
Explanation:
The sum of the terms of a geometric series is given by the formula ...
Sn = a1×(1 -r^n)/(1 -r)
sum of n terms for first term a1 and common ratio r.
__
series sum
The given series has first term a1 = 150, and common ratio r = 60/150 = 2/5. Putting these values into the formula gives a sum of 7 terms that is ...
S7 = 150×(1 -(2/5)^7)/(1 -2/5) = 150((77997/78125)/(3/5))
S7 = 150×(25999/15625) = 249.5904
Rounded to the nearest integer, the sum of the first 7 terms is 250.