In an arithmetic progression

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

In an arithmetic progression, the

15

th term is

68

and the sum of the first

15

terms is

495

. (a) Determine the first term and the common difference of the progression. (b) Find the smallest positive integer

n

for which the

n

-th term exceeds

100