20, 10, 5,?, 40, 5,? 8, 5.
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Explanation:-
5, 10, 20, 40, ……………………
Then, 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40 …………….
Then, a = 5 and r = 2
Therefore, the given series is G. P. (Geometric Progression),
Let the number of terms be n.
Then, 5 x 2n – 1 = 1280
2n – 1 = 1280/5
2n – 1 = 256
2n – 1 = 28
n – 1 = 8
n = 8 + 1
n = 9
Then, the 9th term is 1280.
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