Login/Sign Up
Home » For what value of n, the nth terms of the arithmetic progressions 63, 65, 67, … and 3, 10, 17, … are equal?
For what value of n, the nth terms of the arithmetic progressions 63, 65, 67, … and 3, 10, 17, … are equal?
Arithmetic Progression | CBSE | Class 10 | Maths | RS Aggarwal
For what value of n, the nth terms of the arithmetic progressions 63, 65, 67, … and 3, 10, 17, … are equal?

Solution;

Let the term of the given progressions be tn and Tn respectively.
The given AP is 63, 65, 67,…
Let the first term be a and the common difference be d.
Then a = 63 and d = (65 – 63) = 2
So, the nth term of this AP is given by:

{{t}_{n}}=a+(n-1)d

63=(n-1)\times 2

61+2n

The second AP is 3, 10, 17,…
Let its first term be A and common difference be D.
Then A = 3 and D = (10 – 3) = 7
So, its nth term is given by

Hence, the l3 terms of the Al’s are the same.

i

More Material