1.15: Arithmetic progression: terms and negative sum

0606/12/O/N/20 — Question 4 · 6 marks

The 77th and 1010th terms of an arithmetic progression are 158 and 149 respectively.
(a)
Find the common difference and the first term of the progression.
[3]
(b)
Find the least number of terms of the progression for their sum to be negative.
[3]