Duration: 6:35

5 views

1

Let the sequence \( a_{1}, a_{2}, a_{3}, \ldots, a_{n}, \ldots \) form an A.P. Then, \( a_{1}^{2}-a_{2}^{2}+a_{3}^{2}-a_{4}^{2}+\ldots+a_{2 n-1}^{2}-a_{2 n}^{2} \) is equal to
(A) \( \frac{n}{2 n-1}\left(a_{1}^{2}-a_{2 n}^{2}\right) \)
(B) \( \frac{2 n}{n-1}\left(a_{2 n}^{2}-a_{1}^{2}\right) \)
(C) \( \frac{n}{n+1}\left(a_{1}^{2}+a_{2 n}^{2}\right) \)
(D) none of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live