Geometric seriesAQA A-Level Maths: Mind map

Exam questions on Geometric series

1. A geometric sequence has first term $2$ and common ratio $3$.
   Find the least value of $n$ for which the sum of the first $n$ terms exceeds $10^6$.2 marks
2. A geometric series has first term $40$ and common ratio $0.6$.
   Find the least value of $n$ for which $S_\infty-S_n<0.001$.2 marks
3. A geometric series has second term $12$ and fifth term $1.5$.
   Find the common ratio and the first term.3 marks