examday

Official papers

Official 2023 Paper 1 · Q18

Paper 1ProbabilityFunctions & graphsNumber & counting

You are given that

S=4+8k7+16k249+32k3343+⋯+4(2k7)n+⋯ .S=4+\frac{8k}7+\frac{16k^2}{49}+\frac{32k^3}{343}+\cdots+4\left(\frac{2k}7\right)^n+\cdots.

The value for kk is chosen as an integer in the range −5≤k≤5-5\le k\le5.

All possible values for kk are equally likely to be chosen.

What is the probability that the value of SS is a finite number greater than 3?

A111\frac1{11}
B110\frac1{10}
C311\frac3{11}
D310\frac3{10}
E511\frac5{11}
F12\frac12
G711\frac7{11}
H710\frac7{10}

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →