Question

Find the sum of the following series. Round to the nearest hundredth if

necessary
5 + 10 + 20 + ... + 163840
Sum of a finite geometric series:
ai
Sn
di — airon
1 - 1

Answer 1

327675

Explanation:

the formula of the series is:

16

∑5*2^(n-1)

n=1

the formula for the sum of a geometric series is:

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

plug in the values from above

n=16 a=5 and r=2 (values from the geometric function) so

Sn=5(1-2^16)/(1-2)

Sn=327675