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

-1, -5/6, -2/3, -1/2, ..............

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1 Answers

The given progression -1, -5/6, -2/3, -1/2, ...........

Clearly, -5/6 - (-1) = -2/3 - (-5/6) = -1/2 - (-2/3) = 1/6 (constant)

Thus, each term differs from its preceding term by 1/6 So, the given progression is an AP.

First term = -1

Common difference = 1/6

Next tern of the AP = -1/2 +1/6 = -2/6 = -1/3

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