Question

Is 121 a term of the AP 6, 10, 14, …… ?

Answer 1

Answer:

No

Step-by-step explanation:

Here, a=6 , d=10-6=4

We want to see if 121 is a term of following A.P.

an=121

an= a+(n-1)d

121 = 6 + (n-1)4

115 = (n-1)4

115/4 = n-1

115/4 + 1 =n

119/4 = n

But n is a natural number

Therefore n is not equal to 119/4

And therefore we can say that 121 is not a term of the AP

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