How many terms are there in 2,4,8,16……1024?
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Clearly 2,4,8,16……..1024 form a GP. With a = 2 and r = 4/2 = 2.
Let the number of terms be n .
Then 2 x 2n-1 =1024 or 2n-1 =512
2n-1= 29.
n – 1 = 9 or n = 10.