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tmua.me Extreme Set A Paper 1 · Q15

Paper 1Sequences & series

For r=0,1,…,8r=0,1,\ldots,8, let ara_r be the coefficient of xrx^r in the expansion of (1−x)8(1-x)^8.

What is the value of

∑r=08ar(r+1)(r+2)(r+3) ?\sum_{r=0}^{8}\frac{a_r}{(r+1)(r+2)(r+3)}\,?
A−199-\dfrac1{99}
B00
C122\dfrac1{22}
D111\dfrac1{11}
E19\dfrac19
F16\dfrac16

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