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Question -

Check whether -150 is a term of the A.P. 11, 8, 5, 2, тАж




Answer -

For the given series, A.P. 11, 8, 5, 2..

First term, a = 11

Common difference, d = a2тИТa1 =8тИТ11 = тИТ3

Let тИТ150 be the nth termof this A.P.

As we know, for an A.P.,

an = a+(nтИТ1)d

-150 = 11+(n -1)(-3)

-150 = 11-3n +3

-164 = -3n

n = 164/3

Clearly, n is not an integerbut a fraction.

Therefore, тАУ 150 is not a term of this A.P.

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