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Refer to the following sequences in R: 37 8 (an) == 0,70 ... (bn) := 2√6,6√2,6√/6, 18√2, 18√6, 54√/2,... (cn): 8, 1.04, 1.352, 1.7576, 228.488,... (d): -2.3,-0.2, 1.9, 4, 6.1,... (en): 1, 2, 4, 7, 28, 33,... Take two arithmetic sequences from the list above and show that as sets, these two are equinumerous.

Refer to the following sequences in R: 37 8 (an) == 0,70 ... (bn) := 2√6,6√2,6√/6, 18√2, 18√6, 54√/2,... (cn): 8, 1.04, 1.352, 1.7576, 228.488,... (d): -2.3,-0.2, 1.9, 4, 6.1,... (en): 1, 2, 4, 7, 28, 33,... Take two arithmetic sequences from the list above and show that as sets, these two are equinumerous.

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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1. Refer to the following sequences in R: 29 37 8 (an):= 7' 70' 35' 70' 35 (bn) := 2√6,6√2, 6√6, 18√2, 18√6, 54√2,... (cn): 8, 1.04, 1.352, 1.7576, 228.488,... (dn): -2.3,-0.2, 1.9, 4, 6.1, ... (en): 1, 2, 4, 7, 28, 33, ... Take two arithmetic sequences from the list above and show that as sets, these two are equinumerous. Hint: Assume that the terms of each sequence are the elements of sets X and Y, respectively. Then, define a function f: X->Y and prove that f is bijective.
Transcribed Image Text:1. Refer to the following sequences in R: 29 37 8 (an):= 7' 70' 35' 70' 35 (bn) := 2√6,6√2, 6√6, 18√2, 18√6, 54√2,... (cn): 8, 1.04, 1.352, 1.7576, 228.488,... (dn): -2.3,-0.2, 1.9, 4, 6.1, ... (en): 1, 2, 4, 7, 28, 33, ... Take two arithmetic sequences from the list above and show that as sets, these two are equinumerous. Hint: Assume that the terms of each sequence are the elements of sets X and Y, respectively. Then, define a function f: X->Y and prove that f is bijective.
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