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10
What is the sum of the geometric series
6(2)^n n = 1?

A. 15.658

B. 6,138

C. 12.276

D. 756

10 What Is The Sum Of The Geometric Series 62n N 1 A 15658 B 6138 C 12276 D 756 class=

Sagot :

Answer:

The sum is 12276 . 

Step-by-step explanation:

This expression can be written as:Σ10i=1(6×2n)=6×Σ10i=12n

The last expression is a sum of a finite geometrical sequence for which: a1=2,q=2,n=10. This sum can be calculated as:S10=2×1−2101−2=2×210−12−1=2×(210−1)==2×1023=2046So the value of the first expression is: 6×2046=12276

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