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n ∈ odd integer such that (1 + x + x^2 )^n = a0 + a1 x + a2 x^2 + ........+ a2nx^2n and (a1 )^2

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n ∈ odd integer such that (1 + x + x2 )n = a0 + a1 x + a2 x2 + ........+ a2nx2n and (a1 )2 – (2 a2 )2 + (3 a3 )2 – (4 a4 ) 2 + ......–(2na2n) 2 = – λn2 an–1 then find the value of λ.

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multiplying equation (2) and (3) and compare coefficient of x2n–1 of both sides. 

 

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