QUESTION 5. Show that if 0 ≤r≤n, then r+2 r r (c) + (+³) + (+³) +- + (*) -(+) n n+ = r (1)...using induction on n. (2) ...using a combinatorial proof.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
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QUESTION 5. Show that if 0 ≤r≤n, then
r+2
r
r
(c) + (+³) + (+³) +- + (*) -(+)
n
n+
=
r
(1)...using induction on n.
(2) ...using a combinatorial proof.
Transcribed Image Text:QUESTION 5. Show that if 0 ≤r≤n, then r+2 r r (c) + (+³) + (+³) +- + (*) -(+) n n+ = r (1)...using induction on n. (2) ...using a combinatorial proof.
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