Let (1+x)(1+x+x2)(1+x+x2+x3)......(1+x+x2+....+x30)=a0+a1x+a2x2+...... – InterviewSolution

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1.	Let (1+x)(1+x+x2)(1+x+x2+x3)......(1+x+x2+....+x30)=a0+a1x+a2x2+........+a465x465 then sum of a0+a2+a4+........+a464 is
Answer» Let $(1 + x) (1 + x + x^{2}) (1 + x + x^{2} + x^{3}) . . . . . . (1 + x + x^{2} + . . . . + x^{30}) = a_{0} + a_{1} x + a_{2} x^{2} + . . . . . . . . + a_{465} x^{465}$ then sum of $a_{0} + a_{2} + a_{4} + . . . . . . . . + a_{464}$ is

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