Algebra I Arithmetic and Geometric Sequences HW Name: Date: Pd: Describe each given sequence using the terms arithmetic sequence, common difference, geometric sequence, and common ratio as they apply. 1. 10, 20, 30, 40, . ... 2. 1, 2, 4, 8, . Define the common difference for each arithmetic sequence. 3. 1,5, 9, 13, . 4. 10, 3, -4, -11, . Determine the common ratio for each geometric sequence. 5. 5, 10, 20, 40,. 6. 3, -6, 12, -24, . ...

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Algebra I
Arithmetic and Geometric Sequences HW
Name:
Date:
Pd:
Describe each given sequence using the terms arithmetic sequence, common
difference, geometric sequence, and common ratio as they apply.
1. 10, 20, 30, 40, ..
2. 1, 2, 4, 8,
Define the common difference for each arithmetic sequence.
3. 1,5, 9, 13, .
...
4. 10, 3, -4, -11, ..
Determine the common ratio for each geometric sequence.
5. 5, 10, 20, 40,..
6. 3,-6, 12, -24, ..
Determine whether the sequence is arithmetic or geometric and then determine
the next 3 terms.
7. 8, 14, 20, 26,
8. 512, 256, 128, 64,
9. -500, -125, 250, 625,
10. 3, 9, 27, 81,
Need review on arithmetic and geometric?
https://www.khanacademy.org/math/algebra/sequences/introduction-t
0-arithmetic-squences/v/arithmetic-sequences
Transcribed Image Text:Algebra I Arithmetic and Geometric Sequences HW Name: Date: Pd: Describe each given sequence using the terms arithmetic sequence, common difference, geometric sequence, and common ratio as they apply. 1. 10, 20, 30, 40, .. 2. 1, 2, 4, 8, Define the common difference for each arithmetic sequence. 3. 1,5, 9, 13, . ... 4. 10, 3, -4, -11, .. Determine the common ratio for each geometric sequence. 5. 5, 10, 20, 40,.. 6. 3,-6, 12, -24, .. Determine whether the sequence is arithmetic or geometric and then determine the next 3 terms. 7. 8, 14, 20, 26, 8. 512, 256, 128, 64, 9. -500, -125, 250, 625, 10. 3, 9, 27, 81, Need review on arithmetic and geometric? https://www.khanacademy.org/math/algebra/sequences/introduction-t 0-arithmetic-squences/v/arithmetic-sequences
Match each sequence to the correct recursive formula. Then, find a, for each
sequence.
11. Sequence: 8, 11, 14, 17, .
1
A)
216;B аn
= an-1
Formula:
a6 =
B)
а1 3D 8; ап — аn-1* 3
12. Sequence: 3, -5, -13, -21, .
...
C)
а, 3D 3; ап %3 ап-1 — 8
Formula:
a6 =
D) a, = 8; an = an-1
= an-1 + 3
13. Sequence: 216, 108, 54, 27, ..
Formula:
a, =
14. Sequence: 8, 24, 72, 216, ..
Formula:
a6
%3D
Transcribed Image Text:Match each sequence to the correct recursive formula. Then, find a, for each sequence. 11. Sequence: 8, 11, 14, 17, . 1 A) 216;B аn = an-1 Formula: a6 = B) а1 3D 8; ап — аn-1* 3 12. Sequence: 3, -5, -13, -21, . ... C) а, 3D 3; ап %3 ап-1 — 8 Formula: a6 = D) a, = 8; an = an-1 = an-1 + 3 13. Sequence: 216, 108, 54, 27, .. Formula: a, = 14. Sequence: 8, 24, 72, 216, .. Formula: a6 %3D
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