The sum of the n terms of the series 1 + (1 + 3) + (1 + 3 + 5) ....

Mathematics · JEE Advanced · NTA Exams — Progression and Series

1. n²
2. \(\left[\frac{\mathrm{n}(\mathrm{n}+1)}{2}\right]^{2}\)
3. \(\left[\frac{\mathrm{n}(\mathrm{n}+1)(2 \mathrm{n}+1)}{6}\right]\)
4. none of these

Answer

(C) [ n ( n +1)(2 n +1) 6 ]

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• If a, b and c are positive real numbers then a b + b c + c a is greater than or equal to
• If one G.M., g and two A.M.’s p and q are inserted between two number a and b, then (2 p-q)(p-2 q) g^ 2 =
• If the first and the (2 n – 1) th term of an A.P., a G.P. and a H.P. are equal and their n th terms are a , b…
• Let a 1 , a 2 , ..., a 10 be in A.P. and h 1 , h 2 , ..., h 10 be in H.P. If a 1 = h 1 = 2 and a 10 = h 10 =…
• If a , b , c , d and p are distinct real numbers such that ( a 2 + b 2 + c 2 ) p 2 – 2 ( ab + bc + cd ) p + (…
• The sum of the series 1 3 + 3 3 + 5 3 + ... to 20 terms is
• The sum of an infinite G.P. series is 3. A series which is formed by squares of its terms have the sum also…
• If l n (x + z) + l n (x – 2y + z) = 2 l n (x – z), then x, y, z are in

More Progression and Series questions · Browse all practice questions