(x)(x+1)(x+2)(x+3).............(x+(n-1)) Is there a simple formula for this product of n terms?
If yes what is it?
If yes what is it?
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(x)(x+1)(x+2)(x+3).............(x+(n-1))
=x^n+{1+2+3+...(n−1)} x^(n−1)+ { product or 1,2,3...(n−1) taken 2 at a time}x^(n−2) + { product or 1,2,3...(n−1) taken 3 at a time}x^(n−3) + { product or 1,2,3...(n−1) taken 4 at a time}x^(n−4) +
{ product or 1,2,3...(n−1) taken 5 at a time}x^(n−5)+.............. + { product or 1,2,3...(n−1) }x
=x^n+{1+2+3+...(n−1)} x^(n−1)+ { product or 1,2,3...(n−1) taken 2 at a time}x^(n−2) + { product or 1,2,3...(n−1) taken 3 at a time}x^(n−3) + { product or 1,2,3...(n−1) taken 4 at a time}x^(n−4) +
{ product or 1,2,3...(n−1) taken 5 at a time}x^(n−5)+.............. + { product or 1,2,3...(n−1) }x
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There is no simple formula
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explain what u mean a bit more then i can help