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Anit [1.1K]
3 years ago
15

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

Mathematics
2 answers:
ioda3 years ago
8 0

Answer:

16,383 or C

Step-by-step explanation:


ad-work [718]3 years ago
6 0

Answer:

Option 3rd is correct.

Step-by-step 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 = \frac{12}{3}=4

Sum of the n term of series,  S_n=\frac{a(1-r^n)}{1-r}

So,

S_7=\frac{3(1-4^7)}{1-4}

S_7=\frac{3(1-4^7)}{-3}

S_7=-(1-16384)

S_7=-(-16383)

S_7=16383

Therefore, Option 3rd is correct.

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