1.

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

Answer»

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.


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