Questions
Sum of the last 30 coefficients of powers of in the binomial expansion of is
a
229
b
228
c
259-229
d
258
detailed solution
Correct option is D
Let S= some of the last 30 coefficients in (1+x)59=59C30+59C31+…+59C59 (1)Using nCr=nCn−r, we getS=59C29+59C28+…+59C0 (2)Adding (1) and (2), we get2S=59C0+59C1+…+59C59=259⇒S=258Talk to our academic expert!
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If the coefficients of P th, ( p + 1)th and (p + 2)th terms in the expansion of (1 + x)n are in AP, then
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