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4. Consider the 2nd to 5th entries of the following two sequences and answer the questions be- low: 1 1 4'8' 1 1 {Tn}n=2 (1) | 16' 32 11 1 15 19 1 {Yn}2 (2) 16 (a) Write out an expression for In and yn, i.e. the nth entry in sequence (1) and (2), re- spectively. (b) Do the sequences in (1) and (2) above converge to a limit? If not, why not? If so, then what is the limit of the sequence(s)?

4. Consider the 2nd to 5th entries of the following two sequences and answer the questions be- low: 1 1 4'8' 1 1 {Tn}n=2 (1) | 16' 32 11 1 15 19 1 {Yn}2 (2) 16 (a) Write out an expression for In and yn, i.e. the nth entry in sequence (1) and (2), re- spectively. (b) Do the sequences in (1) and (2) above converge to a limit? If not, why not? If so, then what is the limit of the sequence(s)?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Consider the 2nd to 5th entries of the following two sequences and answer the questions be- low: 1 1 4'8 1 1 {rn}2 (1) 16' 32 11 15 19 1 (2) .... 9. 25 (a) Write out an expression for xn and yn, i.e. the nth entry in sequence (1) and (2), re- spectively. (b) Do the sequences in (1) and (2) above converge to a limit? If not, why not? If so, then what is the limit of the sequence(s)?
Transcribed Image Text:4. Consider the 2nd to 5th entries of the following two sequences and answer the questions be- low: 1 1 4'8 1 1 {rn}2 (1) 16' 32 11 15 19 1 (2) .... 9. 25 (a) Write out an expression for xn and yn, i.e. the nth entry in sequence (1) and (2), re- spectively. (b) Do the sequences in (1) and (2) above converge to a limit? If not, why not? If so, then what is the limit of the sequence(s)?
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