Q. 1 B4.4( 15 Votes )

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

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

Answer :

Here, T2 - T1 = 6 - 11 = - 5

T3 - T2 = 1 - 6 = - 5


T4 - T3 = - 4 - 1 = - 5


Since the difference between each consecutive term is same, the progression is an AP.


So, first term = 11


Common difference = 6 - 11 = - 5


Next term = T5 = T4 + d = - 4 + (-5) = - 9


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