Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)^ for each integer n 2 0, where C and D are real numbers. (a) Find C and D so that b, = 0 and b, = 11. C = 1 D = |-1 What is b, in this case? b2 = (b) Find C and D so that b, = 4 and b, = -9. C = D = What is b, in this case? 6.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 39E: Find the sum of the first five terms of the sequence with the given general term. an=3n2
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Let bo, b,, b2, ... be the sequence defined by the explicit formula
b, = C. 6" + D(-5)" for each integer n 2 0,
where C and D are real numbers.
(a) Find C and D so that b, = 0 and b, = 11.
C =
1
D =
-1
What is b, in this case?
b2
(b) Find Cand D so that b. = 4 and b,
= -9.
C =
D =
What is b, in this case?
Transcribed Image Text:Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)" for each integer n 2 0, where C and D are real numbers. (a) Find C and D so that b, = 0 and b, = 11. C = 1 D = -1 What is b, in this case? b2 (b) Find Cand D so that b. = 4 and b, = -9. C = D = What is b, in this case?
Expert Solution
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Substitute 0 and 1 in the given expression to obtain the values of C and D,

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