If a1,a2,a3,a4 be the coefficeints of four consecutive terms in the ex – InterviewSolution

1.	If a1,a2,a3,a4 be the coefficeints of four consecutive terms in the expansion of (1+x)n then prove that a1a1+a2+a3(a3+a4)=2a2(a2+a3).
Answer» If $a_{1}, a_{2}, a_{3}, a_{4}$ be the coefficeints of four consecutive terms in the expansion of $(1 + x)^{n}$ then 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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