if 2+2^2+2^3+...........+n terms is 1025 then the value of n is
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2, 2², 2³, ...
form a G.P.
with first term (a) = 2.
and common ratio (r) = 2
now, for this G.P.
511 = 2ⁿ - 1
2ⁿ = 512
2ⁿ =
n = 9
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