Sigma notation and arithmetic seriesAQA A-Level Maths: Mind map

Exam questions on Sigma notation and arithmetic series

1. An arithmetic sequence has first term $7$ and common difference $4$.
   Find the least value of $n$ for which the sum of the first $n$ terms exceeds $5000$.2 marks
2. A series is given in sigma notation as $\sum_{r=1}^{n}(3r+2)$.
   Find $\sum_{r=10}^{30}(3r+2)$.2 marks
3. An arithmetic series has third term $17$ and tenth term $45$.
   Find the first term and the common difference.3 marks