The sum of the following series 1 + 6 + (9(1² + 2² + 3²))/7 + (12(1² + 2² + 3² + 4²))/9 + (15(1² + 2² +... + 5²))/11 +..... up to 15 terms, is:

Sequence and Series: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Jan, Evening shift · Q5308

JEE Main 20199 Jan, Evening shiftMathematicsMediumSequence and Series179× since 2002

The sum of the following series

1 + 6 + {{9\left( {{1^2} + {2^2} + {3^2}} \right)} \over 7} + {{12\left( {{1^2} + {2^2} + {3^2} + {4^2}} \right)} \over 9}

+ {{15\left( {{1^2} + {2^2} + ... + {5^2}} \right)} \over {11}} + .....

up to 15 terms, is :

JEE Main 2019 · 9 Jan, Evening shift · Q5308

JEE Main 20199 Jan, Evening shiftMathematicsMediumSequence and Series179× since 2002

The sum of the following series

1 + 6 + {{9\left( {{1^2} + {2^2} + {3^2}} \right)} \over 7} + {{12\left( {{1^2} + {2^2} + {3^2} + {4^2}} \right)} \over 9}

+ {{15\left( {{1^2} + {2^2} + ... + {5^2}} \right)} \over {11}} + .....

up to 15 terms, is :