# For what va

We have to find the value of n, so that the nth term in the both series should be equal

63, 65, 67, ….

In the above series

First term (a1) = 63,

Common difference (d1) = 2

3, 10, 17, ….

First term (a2) = 3,

Common difference (d2) = 7

Since value of nth term is equal we equate an of both the series.

an1 = an2

a1 + (n-1)d1 = a2 + (n-1)d2

63 + (n-1)2 = 3 + (n-1)7

61 +2n = 7n – 4

5n = 65

n = 13.

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