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.

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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