If the sum of the coefficients of all even powers of x in the product (1 + x + x 2 + ....+ x 2n )(1 - x + x 2 - x 3 + ...... + x 2n ) is 61, then n...

(1 + x + x 2 + ....+ x 2n )(1 - x + x 2 - x 3 + ...... + x 2n ) = a 0 + a 1 x + a 2 x 2 + ….. put x = 1 (2n + 1) 1 = a 0 + a 1 + a 2 + …… (1) put x = –...

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If the sum of the coefficients of all even powers of x in th: null (Mathematics) | DivineJEE

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Mathematics

If the sum of the coefficients of all even powers of x in the product
(1 + x + x² + ....+ x²ⁿ)(1 - x + x² - x³ + ...... + x²ⁿ) is 61, then n is equal to _______.

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