Homework) read the following mathematical steps of finding sum of series. Σ 2n = 1+2+4+8+16+ .... 'n=0 Let S = 1+ 2+4+8+16+ …... a S-1 = 2 + 4 + 8 + 16 + ... Multiply series a by 2 2S2+4+8+16+.... S-1=2+4+8+16+.... subtract S+1=0 S = -1 I What is the wrong step in this mathematical procedure? ■ Why this wrong procedure gives this answer S =-1?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 24SE: For the following exercise, determine whether the infinite series has a sum. If so, write the...
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Homework) read the following mathematical steps of finding sum of series.
Σ
2n=1+2+4+8+16+ ....
'n=0
Let S = 1+ 2+4+8+16+....
a
S-1 = 2 + 4 + 8 + 16 + ···.
Multiply series a by 2
2S2+4+8+16+....
S-1=2+4+8+16+....
subtract
S+1=0
S = -1
■
What is the wrong step in this mathematical procedure?
■
Why this wrong procedure gives this answer S =-1?
Transcribed Image Text:Homework) read the following mathematical steps of finding sum of series. Σ 2n=1+2+4+8+16+ .... 'n=0 Let S = 1+ 2+4+8+16+.... a S-1 = 2 + 4 + 8 + 16 + ···. Multiply series a by 2 2S2+4+8+16+.... S-1=2+4+8+16+.... subtract S+1=0 S = -1 ■ What is the wrong step in this mathematical procedure? ■ Why this wrong procedure gives this answer S =-1?
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