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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F108f8a6c-2955-46fa-b885-667817ffe50f%2Fcf37bad5-3798-45a1-b0fe-4bb981290390%2F8pwbjv_processed.png&w=3840&q=75)
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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