Problem 2: For positive integers n, r show that n+r-1) (^+ + + ¹) = (₁ + ²) + (" + ² + ¹) + " r r r-1 n +(+²)+(+¹)+() 1 n n+2 n+r- - (₁+¹)+(²+:-) +- + 2 n n+2) n + n n n + n n n

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
Problem 19P
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Problem 2:
For positive integers n, r show that
n+r-1
(^+ + + ¹) - ("+ ²) + (^ + ² + ¹) +
("
r
r
r-1
n
+(+²)+(+¹)+()
1
n
n+2)
- ("+¹)+("+-¹) +-
n+r-
+
2
n
n+2)
n
+
n
n
n
+
n
n
n
Transcribed Image Text:Problem 2: For positive integers n, r show that n+r-1 (^+ + + ¹) - ("+ ²) + (^ + ² + ¹) + (" r r r-1 n +(+²)+(+¹)+() 1 n n+2) - ("+¹)+("+-¹) +- n+r- + 2 n n+2) n + n n n + n n n
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