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Official 2019 Paper 1 · Q3

Paper 1Algebra

Find the coefficient of xx in the expression:

(1+x)0+(1+x)1+(1+x)2+(1+x)3+⋯+(1+x)79+(1+x)80\begin{aligned} &(1+x)^0+(1+x)^1+(1+x)^2+(1+x)^3\\ &\qquad+\cdots+(1+x)^{79}+(1+x)^{80} \end{aligned}
A8080
B8181
C324324
D628628
E32403240
F33213321
G64806480
H66426642

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