If a=nC0+nC3+nC6+... b=nC1+nC2+nC4+nC5+nC7+nC8+... c=nC1−nC2+nC4−n – InterviewSolution

1.	If a=nC0+nC3+nC6+... b=nC1+nC2+nC4+nC5+nC7+nC8+... c=nC1−nC2+nC4−nC5+nC7−nC8+..., then the value of (a−b2)2+3c24 is
Answer» If $a =^{n} C_{0} +^{n} C_{3} +^{n} C_{6} + . . .$ $b =^{n} C_{1} +^{n} C_{2} +^{n} C_{4} +^{n} C_{5} +^{n} C_{7} +^{n} C_{8} + . . .$ $c =^{n} C_{1} -^{n} C_{2} +^{n} C_{4} -^{n} C_{5} +^{n} C_{7} -^{n} C_{8} + . . .$ , then the value of ${(a - \frac{b}{2})}^{2} + \frac{3 c^{2}}{4}$ is

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