A company’s net cash flow in year $n$ , denoted by $P_n$ (in millions of dollars), follows a geometric progression with common ratio $r$ .

You are given that:

Show that $r\,$ satisfies the equation $r^2 - 2r - 2 = 0$ .

Given that the sum of the cash flows over an infinite time period, $∑n=1∞Pn\sum_{n=1}^{\infty} P_n$ , is convergent,

find the exact value of $P_1$ .

Hence, calculate the exact value of $S∞S_\infty$ .

A company’s net cash flow in year $n$ , denoted by $P_n$ (in millions of dollars), follows a geometric progression with common ratio $r$ .

You are given that:

Show that $r\,$ satisfies the equation $r^2 - 2r - 2 = 0$ .

Given that the sum of the cash flows over an infinite time period, $∑n=1∞Pn\sum_{n=1}^{\infty} P_n$ , is convergent,

find the exact value of $P_1$ .

Hence, calculate the exact value of $S∞S_\infty$ .

1 Pure Mathematics

1 Pure Mathematics Questions