Sum of $n$ terms of the following series ${1^3} + {3^3} + {5^3} + {7^3} + ...$ is

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Sum of

n

terms of the following series

{1^3} + {3^3} + {5^3} + {7^3} + ...

View answer and explanation

Correct option: A

{n^2}\left( {2{n^2} - 1} \right)

Option A (

{n^2}\left( {2{n^2} - 1} \right)

) is correct because it represents the sum of the given series

{1^3} + {3^3} + {5^3} + {7^3} + ...

after simplification.

Practice All Chapter MCQs →

A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

b,y,c

{x^2},{b^2},{y^2}

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

y

Q(y)=a_0+a_1 y+\ldots+a_{2012} y^{2012}

y=x-2

\sum\limits_{{i=0}}^{2012} a_i

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

\log \left(\frac{a}{3 b}\right)

A P

a, b

G P

a, b, c

\frac{3}{4}