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Beyond Horizon Set 3 Paper 1 · Q19

Paper 1Algebra

What is the value of the expression

1+12(n1)+13(n2)+⋯+1n+1(nn)1+\frac12\binom{n}{1}+\frac13\binom{n}{2}+\cdots+\frac{1}{n+1}\binom{n}{n}
A2n+1−1n+1\frac{2^{n+1}-1}{n+1}
B2(2n−1)n+1\frac{2(2^n-1)}{n+1}
C2n−1n\frac{2^n-1}{n}
D2(2n+1−1)n+1\frac{2(2^{n+1}-1)}{n+1}
E2n+2−1n+2\frac{2^{n+2}-1}{n+2}
F2(2n−1)n\frac{2(2^n-1)}{n}

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