Problem 5 Write a function to compute the sum of a geometric

Problem #5. Write a function to compute the sum of a geometric series

1 + r + r2 + r3 +

Solution

The sum of geometric series here has the first term a=1 and common ratio r

Hence S_n = Sum of n terms

= , if |r|<1 =

= , if |r|>1=

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Note: If |r|<1, sum of infinite series converge to 1/1-r.