Question

Show that the progressions given below is an AP. Find the first term, common difference and next term.

11, 6, 1, -4, ..........

Answer 1

The given progression 11, 6, 1, – 4,……..

Clearly,6 – 11 = 1 – 6 = –4 – 1 = –5 (Constant)

Thus, each term differs from its preceding term by 6. So, the given progression is an AP.

First term = 11

Common difference = –5

Next term of the AP= -4+(-5) = -9