In an arithmetic progression

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

Problem

In an arithmetic progression, the

8

th term is

29

and the sum of the first

8

terms is

148

. (i) Set up two equations involving the first term

a

and the common difference

d

using the information given. (ii) Solve the equations obtained in part (i) to find

a

and

d

. (iii) Using the values of

a

and

d

found in part (ii), determine the

15

th term of the progression.