Question

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

(ii) 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