   Chapter 9.7, Problem 51ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# Express each of the sums in 43—54 in closed form (without using a summation symbol and without using an ellipsis . . .). 51. ∑ i = 0 m ( − 1 ) i ( m i ) 1 2 i

To determine

Express the sum i=0m(1)i(mi)12i in closed form (without using a summation symbol and without using an ellipsis…).

Explanation

Given information:

i=0m(1)i(mi)12i

Calculation:

Consider; 112=112

(1 1 2)m=(1 1 2)m( m 0 )(1)m( 1 2)0+( m 1 )(1)m1( 1 2)1+( m 2 )(1)m2( 1 2)2++( m m )(1)0( 1 2)m=( 1 2)m(

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