Question

(b) is 271 a term of AP 1,4,7,10,.....?

Answer 1

Answer:

a = 1

d = 3

To Find:-

Whether 271 is a term of this AP

Procedure:-

Formula = a + (n-1)d

We have to solve and check if the value of ‘n’ is a whole number. If yes, then 271 is a term of this AP.

a + (n-1)d = 271

1 + (n-1)3 = 271

1 + 3n - 3 = 271

-2 + 3n = 271

3n = 271 + 2

3n = 273

n = 273/3

n = 93

Since ‘n’ is a whole number, 271 is a term of this AP.

271 = 93rd term of this AP

Hope it helps

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