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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The sum of the entries in the nth row of Pascal's triangle is equal to 2"-1 for each n EN.
Proof: The nth row of Pascal's triangle corresponds to the binomial coefficients of (x + y)"-1 for n e N. Let a = 1, y= 1. then (a + y)"-1 = (1+ 1)"-1 = 2" ' is
equal to the sum of the entries of the nth row in Pascal's triangle.
O True
O False](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5598c258-0b65-4f95-8bd3-29651964e95d%2F925d1b40-0159-4c04-a51a-64ff4fc7d3da%2Fd2mp5nj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The sum of the entries in the nth row of Pascal's triangle is equal to 2"-1 for each n EN.
Proof: The nth row of Pascal's triangle corresponds to the binomial coefficients of (x + y)"-1 for n e N. Let a = 1, y= 1. then (a + y)"-1 = (1+ 1)"-1 = 2" ' is
equal to the sum of the entries of the nth row in Pascal's triangle.
O True
O False
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