Question

Consider Arithmetic sequence 5,6,7...
Find the position of the term whose square is 400​

Answer 1

Answer:

16th position

Step-by-step explanation:

400 is the square on 20.  Hence, we are asked for the term which is 20.

Let it be the nth term of AP, where d = 6 - 5 = 1.

⇒ aₙ = a + (n - 1)d     [formula]

⇒ 20 = 5 + (n - 1)(1)

⇒ 20 - 5 = n - 1

⇒ 15 = n - 1

⇒ 15 + 1 = n = 16

Thus, the position of the term whose square is 400​ in 16th, in the AP.