In a geometric sequence $x1,x2,x3,…x_1, x_2, x_3, \dots$ :

Show that $r\,$ satisfies the equation

3r^2 - 2r - 2 = 0

Given that the geometric sequence has a sum to infinity,

find the exact value of $x_1\,$ in the form $b\sqrt{7}$ where $\in \mathbb{Q}$ .

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

In a geometric sequence $x1,x2,x3,…x_1, x_2, x_3, \dots$ :

Show that $r\,$ satisfies the equation

3r^2 - 2r - 2 = 0

Given that the geometric sequence has a sum to infinity,

find the exact value of $x_1\,$ in the form $b\sqrt{7}$ where $\in \mathbb{Q}$ .

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

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

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