Question

How do you find the sum of the infinite geometric series `12(-1/4)^(n - 1)`?

Answer 1

9.6

Explanation:

The sum of the infinite series `a+ar+ar^2+ar^3+...+ar^(n-1)+...` ia `a/(1-r)`, for `|r|<1`.
Here, a = 12 and `r = -1/4`
Answer = `12(1+1/4)=48/5`..