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For what value of n, are the nth term of two APs 63,65,67,....... And 3,10,17,...... equal?

Posted by Pushpesh Thakur 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 11 months ago

Let the 1st AP be A =63,65,68.....

Let the 2nd AP be B = 3,7,17......
For A , common difference is : 65-63 = 2
For B ,common difference is : 10-3 = 7

Now Let the nth term be An and Bn respectively.
According to question
An = Bn
=> 63+(n-1)2 = 3+(n-1)7
=>60 + 2n-2 = 7n-7
=>65 = 5n
=> n = 13
Thus 13th term of both AP's will be same

1Thank You

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CBSE > Class 10 > Mathematics