A sequence has f(1) = 120, f(2) = 60 . a. Determine the next 2 terms if it is an arithmetic sequence, then write a recursive definition that matches the sequence in the form f(1) = 120, f(n) = f(n – 1) + _ %3D for n2 2. b. Determine the next 2 terms if it is a geometric sequence, then write a recursive definition that matches the sequence in the form f(1) = 120, f(n) = ___ ' f(n – 1) for n 2 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Unit 1 L
Init 1 Lesson h Cumulative Practice Probleme
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Unit 1 Lesson 6 Cumulative Practice Problems
5.
A sequence has f(1)
120, f(2)
= 60.
a. Determine the next 2 terms if it is an arithmetic sequence, then write a recursive
definition that matches the sequence in the form f(1) = 120, f(n) = f(n – 1) + _
for n> 2.
b. Determine the next 2 terms if it is a geometric sequence, then write a recursive
definition that matches the sequence in the form f(1) = 120, f(n) = ___ ' f(n – 1)
for n> 2.
(From Unit 1, Lesson 5.)
II
Transcribed Image Text:docs.google.com F... KnowFashionSt... Buy directly fro... EURUSD 1.180... Civics Unit 3 No... Account Types... Unit 1 L Init 1 Lesson h Cumulative Practice Probleme Format Toc This version of Safari is no longer supported. Please upgrade to asupported browser. Dismiss Normal text I UA Arial 12 3 4 Unit 1 Lesson 6 Cumulative Practice Problems 5. A sequence has f(1) 120, f(2) = 60. a. Determine the next 2 terms if it is an arithmetic sequence, then write a recursive definition that matches the sequence in the form f(1) = 120, f(n) = f(n – 1) + _ for n> 2. b. Determine the next 2 terms if it is a geometric sequence, then write a recursive definition that matches the sequence in the form f(1) = 120, f(n) = ___ ' f(n – 1) for n> 2. (From Unit 1, Lesson 5.) II
Dismiss
TURN IN
12
B IUA
+
3 I 4
I.. 7
Match each sequence with one of the recursive definitions. Note that only the part of the
definition showing the relationship between the current term and the previous term is
given so as not to give away the solutions.
А.
3, 15, 75, 375
1. a(n) = • a(n – 1)
В.
18, 6, 2,
2.
b(n) = b(n – 1) - 4
С.
1, 2, 4, 7
3.
c(n) = 5 • c(n– 1)
D.
17, 13, 9, 5
4.
d(n) = d(n – 1) + n+1
(From Unit 1, Lesson 5.)
4.
Write the first five terms of each sequence.
a. a(1) = 1, a(n) = 3 • a(n – 1), n 2 2
b. b(1) = 1, b(n) =- 2+ b(n - 1), n2 2
C. c(1) = 1, c(n) = 2 • c(n – 1) + 1, nz 2
d. d(1) = 1, d(n) = d(n – 1) +1, n2 2
e. f(1) = 1, f(n) = f(n – 1) + 2n - 2, n2 2
(From Unit 1, Lesson 5.)
3.
Transcribed Image Text:Dismiss TURN IN 12 B IUA + 3 I 4 I.. 7 Match each sequence with one of the recursive definitions. Note that only the part of the definition showing the relationship between the current term and the previous term is given so as not to give away the solutions. А. 3, 15, 75, 375 1. a(n) = • a(n – 1) В. 18, 6, 2, 2. b(n) = b(n – 1) - 4 С. 1, 2, 4, 7 3. c(n) = 5 • c(n– 1) D. 17, 13, 9, 5 4. d(n) = d(n – 1) + n+1 (From Unit 1, Lesson 5.) 4. Write the first five terms of each sequence. a. a(1) = 1, a(n) = 3 • a(n – 1), n 2 2 b. b(1) = 1, b(n) =- 2+ b(n - 1), n2 2 C. c(1) = 1, c(n) = 2 • c(n – 1) + 1, nz 2 d. d(1) = 1, d(n) = d(n – 1) +1, n2 2 e. f(1) = 1, f(n) = f(n – 1) + 2n - 2, n2 2 (From Unit 1, Lesson 5.) 3.
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