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Nabla Tuition TMUA Paper 1 · Q1

Paper 1Sequences & series

A sequence is defined by

x1=1,xn+1=11+xn(n≥1).x_1=1,\qquad x_{n+1}=\frac1{1+x_n}\quad(n\ge1).

What is the value of x6x_6?

A35\frac35
B58\frac58
C813\frac8{13}
D1321\frac{13}{21}
E2134\frac{21}{34}

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