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 = D = What is b, in this case? b2 = (b) Find C and D so that b, = 4 and b, = 13. C = D = What is b, in this case? b2

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A:

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A: A sequence is said to be monotonic if it is always increasing or decreasing.

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A: Sum of n terms of geometric seriesSn=a(rn-1)r-1where a= first termr=common ration= number of term

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A:

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A: Consider the given information as a=-4 and d=2

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: Find the sum of the first 100 terms of the sequence: 4, -2, -8, -14, . . . .

A: GIVEN SEQUENCE,                         4, -2,-8,-14.......         LET…

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A: Given: y'+5y=te-3t To find: The general solution of the given differential equation.

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A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

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Q: what notation is used in sequences and functions?

A: To define: Notations used in sequences and functions.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.