For nists of integers, provide mula or rule that generates the terms of quence that begins with the given list. Assum formula or rule is correct, determine the ne of the sequence. a) 101 100 2001

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 64RE
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part G H

25. For each of these lists of integers, provide a simple for-
mula or rule that generates the terms of an integer se-
quence that begins with the given list. Assuming that your
formula or rule is correct, determine the next three terms
of the sequence.
a) 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, ...
b) 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, ...
c) 1, 0, 2, 0, 4, 0, 8, 0, 16, 0,
d) 3, 6, 12, 24, 48, 96, 192, ...
e)
15, 8, 1, -6, -13, -20, -27, ...
f) 3, 5, 8, 12, 17, 23, 30, 38, 47, ...
g) 2, 16, 54, 128, 250, 432, 686, ...
h) 2, 3, 7, 25, 121, 721, 5041, 40321, ...
Transcribed Image Text:25. For each of these lists of integers, provide a simple for- mula or rule that generates the terms of an integer se- quence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence. a) 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, ... b) 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, ... c) 1, 0, 2, 0, 4, 0, 8, 0, 16, 0, d) 3, 6, 12, 24, 48, 96, 192, ... e) 15, 8, 1, -6, -13, -20, -27, ... f) 3, 5, 8, 12, 17, 23, 30, 38, 47, ... g) 2, 16, 54, 128, 250, 432, 686, ... h) 2, 3, 7, 25, 121, 721, 5041, 40321, ...
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