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?
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?
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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