Q. 1 C5.0( 13 Votes )

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


Answer :

Here, T2 - T1 = (-5/6) - (-1) = 1/6

T3 - T2 = (-2/3) - (-5/6) = 1/6


T4 - T3 = (-1/2) - (-2/3) = 1/6


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


So, first term = - 1


Common difference = (-5/6) - (-1) = 1/6


Next term = T5 = T4 + d


= (-1/2) + (1/6)


= (-2/6)


= (-1/3)


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