#2. The binomial theorem states that for any real numbers a and b, In (a + b)n = =Σ" ("a²-kbk for any integer n ≥ 0. 2-1 k=0 Use this theorem to show that for any integer In Σ" (-1)^(^)3n-k2k = 1. k=0 n ≥ 0,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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#2.
The binomial theorem states that for any real numbers a and b,
(a + b)" =
=["("an-kpk for any integer n 2 0.
Use this theorem to show that for any integer
Σ(−1)k (7)3n-k2k = 1.
k=0
n ≥ 0,
Transcribed Image Text:#2. The binomial theorem states that for any real numbers a and b, (a + b)" = =["("an-kpk for any integer n 2 0. Use this theorem to show that for any integer Σ(−1)k (7)3n-k2k = 1. k=0 n ≥ 0,
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