Question

2. For what value of k the kth terms of the following APs are
equal :(1)1,7. 13, 19 ,....​

Answer 1

For what value of k the kth terms of the following APs are

equal :(1)1,7. 13, 19 ,....

⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️⏭️

Answer 2

Answer:

Hi!

In the A.P., 1, 7, 13, 19 …. the first term, a = 1. Common difference, d = 6

Now, n term of this A.P. = 1 + (n – 1) 6 = 6n – 5

In the A.P., 69, 68, 67 … the first term, a = 69. Common difference, d = –1

Now, n term of this A.P. = 69 + (n – 1) (–1) = 70 – n

It is given that

6n – 5 = 70 – n

⇒ 6n + n = 70 + 5

⇒ 7n = 75

⇒ n = 75/7 which is not a whole number.

Thus, the n terms of the given A.P.s are not same.