Questions
The sum of the last eight coefficients in the expansion of is.
a
216
b
215
c
214
d
none of these
detailed solution
Correct option is C
We have,(1+x)15=15C0+15C1x+15C2x2+…+15C15x15We have to find the value of 15C8+15C9+15C10+…+15C15=122×15C8+2×15C9+2×15C10+…+2×15C15=12 15C7+15C8+ 15C6+15C9+ 15C5+15C10+…+…………..+ 15C0+15C15∵nCr=nCn−r=12 15C0+15C1+15C2+…+15C15=12×215=214Talk to our academic expert!
Similar Questions
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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