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StepMaths Mock Paper 1 · Q14

Paper 1Sequences & seriesPowers & logarithms

Let ktk_t be a sequence of numbers defined by k1=1k_1=1 and satisfying

kt+1kt=2t\frac{k_{t+1}}{k_t}=2^t

Find log⁡2(k100)\log_2(k_{100}).

Alog⁡25050\log_2 5050
B49504950
C50505050
D249502^{4950}
E250502^{5050}

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