If n is odd positive integer and 1-x-x2-x3n- r-03narxr then a0-a1-a2-a3n is equal to

Explanation for correct answerSimplify the given equation,(1+x+x^2+x^3)^n=∑ _r=0^3na_rx^rPut x = 1⇒ (1 1+1 1)=∑ _r=0^3na_rx^r⇒ 0=a_0+a_1+a_ ...

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If n is odd p...

Question

If $n$ is odd positive integer and $(1 + x + x^{2} + x^{3})^{n}$ = $\sum_{r = 0}^{3 n} a_{r} x^{r}$ then $a_{0} + a_{1} + a_{2} + . . . . . . . a_{3 n}$ is equal to

$4^{n}$

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