Let P=[binomn1+binomn2Delta+binomn3Delta^2+dots+binomnnDelta^n-1]y1 and Q=y1+y2+dots+yn. If the interval of difference is h=1, then what is P/Q equal to?

Q59Section I (Objective (Q1–Q80))59 of 80

Numerical Analysis — Newton–Gregory summation formula

Let

$P=\left[\binom{n}{1}+\binom{n}{2}\Delta+\binom{n}{3}\Delta^2+\dots+\binom{n}{n}\Delta^{n-1}\right]y_1$

and $Q=y_1+y_2+\dots+y_n$ . If the interval of difference is $h=1$ , then what is $P/Q$ equal to?

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