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Check whether -150 is a term of the A.P. 11, 8, 5, 2, … Q.6

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What is the best solution of arithmetic progressions of math of exercise 5.2 of class 10th math. It is very important question Check whether -150 is a term of the A.P. 11, 8, 5, 2, …

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

    First term, a = 11

    Common difference, d = a2a1 = 8−11 = −3

    Let −150 be the nth term of this A.P.

    As we know, for an A.P.,

    an = a+(n−1)d

    -150 = 11+(n -1)(-3)

    -150 = 11-3n +3

    -164 = -3n

    n = 164/3

    Clearly, n is not an integer but a fraction.

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

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