Which term of the AP:3, 15, 27, 39…. will be 132 more than its 54th term?
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Which term of the AP:3, 15, 27, 39…. will be 132 more than its 54th term?
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1 thought on “<br />Which term of the AP:3, 15, 27, 39…. will be 132 more than its 54th term?<br />​”

  1.      Answer:

                       65th term

    Step-by-step explanation:

    AP:3, 15, 27, 39….

    a = 3 , d = 15 – 3 = 12 ,  n = 54

    an = a + d(n – 1)

    an = 3 + 12(54 – 1)

        = 3 + (12 * 53)

        = 3 + 636

    an = 639

                     am = 639 + 132

                     am = 771

                     am = a + d(m – 1)

                     771 = 3 + 12(m – 1)

                     771 – 3 = 12(m – 1)

                     12(m – 1) = 768

                     m – 1 = 768 / 12

                     m – 1 = 64

                     m = 65

                     ∴ 65th term is  132 more than its 54th term

    Thank You

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