Question

what value of n the nth term of two aps 63.65.67....... and 3.10.17....are equal

Answer 1

Heya,

Given=>

Two A.P. are;

1st => 63, 65, 67..

In, this ;
a = 63
d = 65 - 63
= 2

2nd => 3, 10, 17

In this;
a1 = 3
d1 = 10-3
= 7

As, we have to find the nth term that of 2 A.P. is equal so,

a + (n - 1)d = a1 + (n - 1)d

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

=> 63 - 3 = 7n - 7 - 2n + 2

=> 60 = 5n - 5

=> 5n = 65

=> n = 13th term. ..... Answer

Hope this helps...:)