In the series 2, 6, 18, 54, ...... what will be the 8th term?

4370

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4374

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7443

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7434

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Solution

The correct option is A 4374
Clearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,.....
So, the series is a G.P. in which a = 2, r = 3.
Therefore 8th term = $a r^{8 - 1} = a r^{7} = 2 \times 3^{7} = (2 \times 2187) = 4374$ .

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