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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