Mathematics 9709 · AS & A Level · Series

Series — practice question

The initial term of an arithmetic progression is $84$, and its common difference is $-3$.
(a)[2]

Determine the least value of $n$ for which the $n$th term is negative.

(b)[3]

It is stated that the sum of the first $2k$ terms of this progression is the same as the sum of the first $k$ terms. Determine the value of $k$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Equation formed from $84-3(n-1)=0$

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