Match the questions given under Column I with their appropriate answers given under the Column II.
| Column I | Column II |
|---|---|
(a) 4, 1, \(\tfrac{1}{4}\), \(\tfrac{1}{16}\) | (i) A.P. |
(b) 2, 3, 5, 7 | (ii) sequence |
(c) 13, 8, 3, -2, -7 | (iii) G.P. |
| Column A | Matched Item from Column B |
|---|---|
4, 1, \(\tfrac{1}{4}\), \(\tfrac{1}{16}\) | G.P. |
2, 3, 5, 7 | sequence |
13, 8, 3, -2, -7 | A.P. |
Match the questions given under Column I with their appropriate answers given under the Column II.
| Column I | Column II |
|---|---|
(a) \(1^2 + 2^2 + 3^2 + \ldots + n^2\) | (i) \(\left(\dfrac{n(n+1)}{2}\right)^2\) |
(b) \(1^3 + 2^3 + 3^3 + \ldots + n^3\) | (ii) \(n(n+1)\) |
(c) \(2 + 4 + 6 + \ldots + 2n\) | (iii) \(\dfrac{n(n+1)(2n+1)}{6}\) |
(d) \(1 + 2 + 3 + \ldots + n\) | (iv) \(\dfrac{n(n+1)}{2}\) |
| Column A | Matched Item from Column B |
|---|---|
\(1^2 + 2^2 + \ldots + n^2\) | \(\dfrac{n(n+1)(2n+1)}{6}\) |
\(1^3 + 2^3 + \ldots + n^3\) | \(\left(\dfrac{n(n+1)}{2}\right)^2\) |
\(2 + 4 + 6 + \ldots + 2n\) | \(n(n+1)\) |
\(1 + 2 + 3 + \ldots + n\) | \(\dfrac{n(n+1)}{2}\) |