Mathematics 9709 · AS & A Level · Series

Series — practice question

An arithmetic progression starts with first term $-12$ and has common difference $6$. The total of the first $n$ terms is greater than $3000$.
(main)[4]

Calculate the smallest possible value of $n$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies the correct formula $\frac{1}{2}n[-24+(n-1)6] \approx 3000$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI