Question

The common ratio in a geometric series is 0.50 and the first term is 256. Find the sum of the first 6 terms in the series.

Answer 1

Answer:

the answer of 6 series is 504.

Step-by-step explanation:

the common ratio the geometric series is, r=0.5

the first term of the series is, a=256

we need to find to 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

a,ar¹,ar²,ar³.....

the sum of n terms of a GP given by:

Sn a=a(1-r^n)/1-r

here n =6

so, 256× (1- (0.5)⁶) /1-0.5

Sn=504