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Clavis TMUA Set C Paper 1 · Q10

Paper 1Sequences & series

The sequence x1,x2,x3,…x_1,x_2,x_3,\ldots is defined by

x1=256andxn+1=xn for n≥1.x_1=256\quad\text{and}\quad x_{n+1}=\sqrt{x_n}\text{ for }n\geq1.

Find the least value of nn for which xn<2x_n<2.

A11
B22
C33
D44
E55

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