Question

How do you find the sum of the finite geometric sequence of `sum_(n=0)^5 300(1.06)^n`?

Answer 1

`sum_(n=0)^5 300(1.06)^n~~2092.6`

Explanation:

This is geometric sequence of which `1` st term is `a=300`,

common ration is `r=1.06` and number of terms is `n=6`

Sum is `s_n=(a(r^n-1))/(r-1)= (300(1.06^6-1))/(1.06-1)`

`:.s_n~~2092.6 :. sum_(n=0)^5 300(1.06)^n~~2092.6` [Ans]