If a1, a2, a3 and a4 are the coefficients of four consecutive terms in – InterviewSolution

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1.	If a1, a2, a3 and a4 are the coefficients of four consecutive terms in the expansion of (1+x)n, prove that a1a1+a2+a3a3+a4=2a2a2+a3.
Answer» If $a_{1}, a_{2}, a_{3}$ and $a_{4}$ are the coefficients of four consecutive terms in the expansion of $(1 + x)^{n},$ prove that $\frac{a_{1}}{a_{1} + a_{2}} + \frac{a_{3}}{a_{3} + a_{4}} = \frac{2 a_{2}}{a_{2} + a_{3}} .$

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