Question

5,7,9.......is an arithmetic sequence The square of a term of this arithmetic sequence is 2025 what is its position?

Answer 1

Answer:

21

Step-by-step explanation:

Here we have an A.P whose first term is 5 and common difference is 2.

Therefore, nth term = a+(n-1)d

=> nth term = 3+ 2n

Since the square of some term, lets say k, is 2025

Therefore we get,

(3+2k)^2 = 2025

=> (3+2k) = +45 OR (3+2k) = -45

BUT NEGATIVE VALUE IS NOT POSSIBLE.

Therefore,

3+2k = 45

=> 2k = 42

=> k = 21