The curve $C\,$ with equation $y = e^x$ meets the line $L\,$ with equation $y = 5 x - 1$ at the point $P$ .

Show that the $x$ -coordinate of $P\,$ satisfies $\ln(5x - 1)$ .

Use the iteration formula

$x_{n+1} = \ln(5x_n - 1)$

with $x_0 = 2.5$ to find, to three decimal places, the values of $x_1$ , $x_2\,$ and $x_3$ .

The curve $C\,$ with equation $y = e^x$ meets the line $L\,$ with equation $y = 5 x - 1$ at the point $P$ .

Show that the $x$ -coordinate of $P\,$ satisfies $\ln(5x - 1)$ .

Use the iteration formula

$x_{n+1} = \ln(5x_n - 1)$

with $x_0 = 2.5$ to find, to three decimal places, the values of $x_1$ , $x_2\,$ and $x_3$ .

3 Unit A2 1: Pure Mathematics (A-level only)

3 Unit A2 1: Pure Mathematics (A-level only) Questions