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What is the sum of the first seven terms of the geometric series? 3 + 12 + 48 + 192 + ... 4,372 12,288 16,383 65,535

2 Answers

2 votes

Answer:

16,383 or C

Explanation:


User Pace
by
7.1k points
7 votes

Answer:

Option 3rd is correct.

Explanation:

Given: 3 + 12 + 48 + 192 + .......

We have to find : Sum of first seven term of the given Geometric series.

First term , a = 3

Common ratio , r =
(12)/(3)=4

Sum of the n term of series,
S_n=(a(1-r^n))/(1-r)

So,


S_7=(3(1-4^7))/(1-4)


S_7=(3(1-4^7))/(-3)


S_7=-(1-16384)


S_7=-(-16383)


S_7=16383

Therefore, Option 3rd is correct.

User Patcon
by
7.3k points