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Question Number 137007 by SLVR last updated on 28/Mar/21

Commented by SLVR last updated on 28/Mar/21

$k i n d l y s e n d m e t h e s o l u t i o n$
Commented by mr W last updated on 28/Mar/21

$p u t x = 1 :$ $2 \times 3 \times 4 \times . . . \times 31 = a_{0} + a_{1} + a_{2} + a_{3} + a_{4} + . . .$ $\Rightarrow 31! = a_{0} + a_{1} + a_{2} + a_{3} + a_{4} + . . .$ $p u t x = - 1 :$ $0 = a_{0} - a_{1} + a_{2} - a_{3} + a_{4} - . . .$ $31! + 0 = 2 (a_{0} + a_{2} + a_{4} + . . .)$ $\Rightarrow a_{0} + a_{2} + a_{4} + . . . = \frac{31!}{2}$
Commented by SLVR last updated on 31/Mar/21

$t h a n k s . . . M r . W$
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