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Series

Sum of the se...

Question

Sum of the series $3, 9, 27, . . .$ upto $6$ terms

A

512

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B

1092

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C

364

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D

728

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Solution

The correct option is B $1092$
The given series is G.P. with $a = 3, r = 3$

Sum $= \frac{a (r^{n} - 1)}{r - 1}$
$= \frac{3 (3^{6} - 1)}{3 - 1} = 1092$

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