TMUA 2023 Paper 1 Q18 — Worked Solution

P1·Sequences & Series, Statistics & Probability·6.0Official · 2023 · Q18

geometric-seriesconvergenceprobability

You are given that

S = 4 + \frac{8 k}{7} + \frac{16 k ^{2}}{49} + \frac{32 k ^{3}}{343} + \dots + 4 (\frac{2 k}{7})^{n} + \dots

The value for

k

is chosen as an integer in the range

- 5 \leq k \leq 5

. All possible values for

k

are equally likely to be chosen.What is the probability that the value of

S

is a finite number greater than

3

Discussion

No discussions yet. Stuck, or want to share an approach? Start the first one.