JEE Main 202331 Jan, Evening shiftMathematicsMediumSequence and Series179× since 2002The sum 12−2⋅32+3⋅52−4⋅72+5⋅92−…+15⋅2921^{2}-2 \cdot 3^{2}+3 \cdot 5^{2}-4 \cdot 7^{2}+5 \cdot 9^{2}-\ldots+15 \cdot 29^{2}12−2⋅32+3⋅52−4⋅72+5⋅92−…+15⋅292 is _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution