Given the pattern -36, 12, -4,... (a) Write an explicit formula for the pattern. (b) Write a recursive formula for the pattern. (c) Does the pattern converge or diverge? If it converges, to what value does it converge? (d) If you added the terms in this pattern, would the sum converge or diverge? If it converges, to what value does it converge?
Given the pattern -36, 12, -4,... (a) Write an explicit formula for the pattern. (b) Write a recursive formula for the pattern. (c) Does the pattern converge or diverge? If it converges, to what value does it converge? (d) If you added the terms in this pattern, would the sum converge or diverge? If it converges, to what value does it converge?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.10: Recursive Formulas
Problem 8CYU
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![Given the pattern -36, 12, -4, ...
(a) Write an explicit formula for the pattern.
(b) Write a recursive formula for the pattern.
(c) Does the pattern converge or diverge? If it converges, to what value does it converge?
(d) If you added the terms in this pattern, would the sum converge or diverge? If it converges, to what value does it converge?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f7cf118-fa19-4d49-826b-323fe9748296%2Fdf8a554a-dbae-4f05-b980-1ed94dc39e51%2Fyhgaalh_processed.png&w=3840&q=75)
Transcribed Image Text:Given the pattern -36, 12, -4, ...
(a) Write an explicit formula for the pattern.
(b) Write a recursive formula for the pattern.
(c) Does the pattern converge or diverge? If it converges, to what value does it converge?
(d) If you added the terms in this pattern, would the sum converge or diverge? If it converges, to what value does it converge?
![Given the pattern -36, 12, -4, ...
(a) Write an explicit formula for the pattern.
(b) Write a recursive formula for the pattern.
(c) Does the pattern converge or diverge? If it converges, to what value does it converge?
(d) If you added the terms in this pattern, would the sum converge or diverge? If it converges, to what value does it converge?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f7cf118-fa19-4d49-826b-323fe9748296%2Fdf8a554a-dbae-4f05-b980-1ed94dc39e51%2Fkracuhb_processed.png&w=3840&q=75)
Transcribed Image Text:Given the pattern -36, 12, -4, ...
(a) Write an explicit formula for the pattern.
(b) Write a recursive formula for the pattern.
(c) Does the pattern converge or diverge? If it converges, to what value does it converge?
(d) If you added the terms in this pattern, would the sum converge or diverge? If it converges, to what value does it converge?
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