Question

Find the 10th term from the end of the progression 5 + 2 − 1 − 4 − ... − 34.

Answer 1

This is an Arithmetic Progression (AP)

First term a = 82

Common difference d = 79 − 82

= 3

last term = 4

Formula for the nth term from the end:

nth term from end = 1 − (n − 1)d

For the 10th term from the end:

4 − (10 − 1)(−3)

4 + 27

= 31