2.15: Arithmetic and geometric progression sums

0606/23/O/N/20 — Question 10 · 11 marks

(a)
The sum of the first 4 terms of an arithmetic progression is 38 and the sum of the next 4 terms is 86. Find the first term and the common difference.
[5]
(b)
The third term of a geometric progression is 12 and the sixth term is 96-96. Find the sum of the first 10 terms of this progression.
[6]