Question

Calculate the sum of the infinite series 72+60+50+125/3

Answer 1

To determine the sum of the infinite series, we need to find the common ratio and determine if the series converges or diverges.

The first term of the series is 72, the second term is 60, and the third term is 50. Let's try to find the common ratio:

Common ratio (r) = (second term) / (first term)
= 60 / 72
= 5/6

To find the sum (S) of the infinite series, we can use the formula for the sum of an infinite geometric series:

S = (first term) / (1 - common ratio)

S = 72 / (1 - 5/6)
= 72 / (1/6)
= 72 * (6/1)
= 432

Therefore, the sum of the infinite series 72+60+50+125/3 is 432.