3:08 PM Sun Feb 14* 100%1) Determine the next three numbers in the given sequences. Write a sentence explaining what you notice.а) 1, 2, 4,Now determine a different pattern and three different numbers that would satisfy that pattern for thissequence.1, 2, 4,b) 1, 1, 2, 3, 5, 8,(Hint: this is a famous sequence. Look at previous terms to get next)c) 61, 60, 58, 55, 51, 46,d) 5, 6, 14, 29, 51, 80,(Hint: for this one, look at differences between differences!)e) 2, 6, 12, 20, 30,(Hint: think about factoring these terms to see a pattern).f) 1, 8, 27, 64, 125,g) 2, 6, 18, 54, 162,h) 2, 4, 8, 16, 32,i) 100, 90, 80, 70,Sequences which have a common difference between terms (the same number is being added or subtracted toeach term to produce the next) are called ARITHMETIC SEQUENCES.Sequences which have a common ratio between terms (the same number is being multiplied or divided to eachterm to produce the next) are called GEOMETRIC SEQUENCES.[34]34127j) Not every sequence is arithmetic or geometric, but many are. Identify which of the above sequences arearithmetic, and which are geometric and write A or G beside each correspondingly

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Description: 3:08 PM Sun Feb 14* 100%1) Determine the next three numbers in the given sequences. Write a sentence explaining what you notice.а) 1, 2, 4,Now determine a different pattern and three different numbers that would satisfy that pattern for thissequence

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1) Determine the next three numbers in the given sequences. Write a sentence explaining what you notice. a) 1, 2, 4, Now determine a different pattern and three different numbers that would satisfy that pattern for this sequence* 1, 2, 4, b) 1, 1, 2, 3, 5, 8, (Hint: this is a famous sequence. Look at previous terms to get next) c) 61, 60, 58, 55, 51, 46,

1) Determine the next three numbers in the given sequences. Write a sentence explaining what you notice. a) 1, 2, 4, Now determine a different pattern and three different numbers that would satisfy that pattern for this sequence* 1, 2, 4, b) 1, 1, 2, 3, 5, 8, (Hint: this is a famous sequence. Look at previous terms to get next) c) 61, 60, 58, 55, 51, 46,

Algebra and Trigonometry (6th Edition)

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Author:Robert F. Blitzer

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

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.

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Question

3:08 PM Sun Feb 14
* 100%
1) Determine the next three numbers in the given sequences. Write a sentence explaining what you notice.
а) 1, 2, 4,
Now determine a different pattern and three different numbers that would satisfy that pattern for this
sequence.
1, 2, 4,
b) 1, 1, 2, 3, 5, 8,
(Hint: this is a famous sequence. Look at previous terms to get next)
c) 61, 60, 58, 55, 51, 46,
d) 5, 6, 14, 29, 51, 80,
(Hint: for this one, look at differences between differences!)
e) 2, 6, 12, 20, 30,
(Hint: think about factoring these terms to see a pattern).
f) 1, 8, 27, 64, 125,
g) 2, 6, 18, 54, 162,
h) 2, 4, 8, 16, 32,
i) 100, 90, 80, 70,
Sequences which have a common difference between terms (the same number is being added or subtracted to
each term to produce the next) are called ARITHMETIC SEQUENCES.
Sequences which have a common ratio between terms (the same number is being multiplied or divided to each
term to produce the next) are called GEOMETRIC SEQUENCES.
[34]
34
127
j) Not every sequence is arithmetic or geometric, but many are. Identify which of the above sequences are
arithmetic, and which are geometric and write A or G beside each correspondingly

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