Question
Find the sum `(2 + 2^2 + 2^3 + 2^4 + ............+ 2^10)`
Answer: Option B
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This is a G.P. in which a = 2 , r = `2^2/2 = 4/2 = 2.`
Required sum = `(a(r^n - 1))/((r - 1)) `
= `(2(2^10 - 1))/((2 - 12))`
= (2 x 1023) = 2046.
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