Question

Show that the progression 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