The sum of the entries in the nth row of Pascal's triangle is equal to 2"1 for each n e N. Proof: The nth row of Pascal's triangle corresponds to the binomial coefficients of (x + y)"-1 for ne N. Let z = 1, y = 1. then (x + y)" 1== (1+1)"-1 = 2" is equal to the sum of the entries of the nth row in Pascal's triangle. OTrue O False
The sum of the entries in the nth row of Pascal's triangle is equal to 2"1 for each n e N. Proof: The nth row of Pascal's triangle corresponds to the binomial coefficients of (x + y)"-1 for ne N. Let z = 1, y = 1. then (x + y)" 1== (1+1)"-1 = 2" is equal to the sum of the entries of the nth row in Pascal's triangle. OTrue O False
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 37E
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