For what value of n, the nth terms of the sequences 3, 10, 17,... and 63, 65, 67,... are equal.
For what value of n, the nth terms of the sequences 3, 10, 17,... and 63, 65, 67,... are equal.
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Given, the nth terms of the sequences 3, 10, 17,... and 63, 65, 67,... are equal.
since, nth term of A.P.= a + (n – 1) d
➪ 3+(n-1)7=63+(n-1)2
➪ 3 + 7n-7=63 + 2n-2
7n-2n= 61+4
5n = 65
n = 13
Therefore, 13th terms of both these A.P.s are equal to each other.
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