# CBSE Class 10 Answered

**Which term of the A.P. 3,15,27,39,...is 132 more than the 54th term ?**

Asked by Amuthavalli Thayyal Gopala Krishnan | 23 Nov, 2013, 08:39: PM

Expert Answer

a = 3

d = 15 - 3 = 12

Let the required term be the nth term.

an = a + (n-1)d

a_{54 }+ 132 = 32 + 53 * 12 + 132

= 32 + 636 + 132 = 800

a_{n} = 800

800 = 32 + (n-1) 12

768 = (n-1)12

n-1 =768 / 12 = 64

n = 64 + 1 = 65

Thus, 65th term is 132 more than 54th term

Answered by | 23 Nov, 2013, 11:21: PM

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