Question

for what value of n the n th terms of the following two APs are equal ? 23,25,27,29 and -17,-10,-1,4​ ​

Answer 1

There must be correction in your question, for second common difference in 2nd AP. Here I have taken that 7.

If question is correct, n can't be defined.

Answer:

9th term

Step-by-step explanation:

For AP with 23:

First term is 23

com. dif. is 25 - 23 = 2

nth term = 23 + (n - 1)2

For AP with - 17:

First term is - 17

com. dif. is - 10 - (-17) = 7

nth term = - 17 + (n - 1)7

Aa both are equal:

= > - 17 + (n - 1)7 = 23 + (n - 1)2

= > 7n - 7 - 2n + 2 = 23 + 17

= > 5n - 5 = 40

= > n = 9