Question

Check whether following terms are in AP or not in Ap 2 5 7 8 ​

Answer 1

Answer:

terms=2,5,7,8

common difference= 5-2 = 3

common difference= 7-5 = 2

common difference= 8-7 = 1

As the common difference is not same therefore They are not in AP.

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Answer 2

$a _{n} = a + (n - 1)d$

$here \: a = 2 \\ d = 3$

$a _{2} = 2 + 3 \\ = 5$

$a_{3} = 2 + (3 - 1)3 \\ = 2 +6 \\ = 8$

$but \: according \: to \: the \: question \: \\ a_{3} = 7$

$hence \: this \: is \: not \: in \: ap$

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