Which term of the series 5,10, 20, 40,……………….is 1280 ?

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Which term of the series 5,10, 20, 40,……………….is 1280 ?

A. 10th
B. 9th
C. 8th
D. None of these

Answer & Solution

Answer: Option B
Solution:

Clearly, 5 × 2 = 10, 10 × 2 =20, 20 × 2 = 40,………………………..
So, the series is G.P. in which a = 5 and r = 2.
Let 1280 be the nth term of the series.
Then, 5 × 2n – 1= 1280 ⇔2n – 1= 256 = 28 ⇔ n – 1 = 8 ⇔ n = 9

Which term of the series 5,10, 20, 40,...................is 1280 ?

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