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tmua.co.uk TMUA Mock Paper 1 · Q4

Paper 1Sequences & series

A sequence unu_n is defined by u0=3u_0=3 and the recurrence relation

un+1=1−1unu_{n+1}=1-\frac1{u_n}

for n≥0n\ge0. Find the value of the sum S=∑n=025unS=\sum_{n=0}^{25}u_n.

A512\frac{51}{2}
B2626
C853\frac{85}{3}
D572\frac{57}{2}
E2929
F3737

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