Mathematics 9709 · AS & A Level · Series

Series — practice question

The first term of a geometric progression is $3 + 4\sqrt{2}$, and its second term is $5 - \sqrt{2}$.
(a)[3]

Determine the common ratio of the geometric progression. Present your answer in the form $\sqrt{2} + p$, where $p$ is the integer to be found.

(b)[2]

Determine the sum to infinity of the geometric progression.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: So $r=\dfrac{5-\sqrt2}{3+4\sqrt2}$.

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