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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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0

Introduction

0.1 Finite sums

0.11 Progressions

0.11112 Arithmetic progression.

k=0n1(a+kr)=n2[2a+(n1)r]=n2(a+1)=12r(a+1)(la+r)

si1_e  [l=a + (n-1)r is the last term]

0.112 Geometric progression.

k=1naqk1=a(qn1)q1

si2_e  [q ≠ 1]

0.113 Arithmetic-geometric progression.

k=0n(a+kr)qk=a[a+(n1)r]qn1q+rq(1qn1)(1q)2

si3_e  [q ≠ 1, n > 1] JO (5)

0.1148

k=1n1k2xk=(n2+2n1)xn+2+(2n22n1)xn+1n2+1n2xn+x2+x(1x)3

0.12 Sums of powers of natural ...

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