1.

Which term of the AP:3,15,27,39,...will be 132 more than 54th term.please give step by step​

Answer»

Answer:

65th term

Step-by-step explanation:

In APs, nth term is GIVEN by a + (n - 1)d , a is FIRST term and d is common difference.

Here,

a = first term = 3

d = 15 - 3 = 12

Let nth term be 132 more than 54th term

= > 3 + (n - 1)12 = 132 + {3 + (54 - 1)12}

= > 3 + 12n - 12 = 132 + 3 + (53)12

= > 12n - 9 = 135 + 636

= > 12n = 135 + 636 + 9

= > 12n = 780

= > n = (780/12)

= > n = 65

65th term is 132 more than 54th term.


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