The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

The sum of n terms of a GP is given by :

Here, n = 6

So, the sum of the first 6 terms of the series is 504.

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)