Sequences: 36122472 18, 36, 72, 144x2 3,8, 13, 1841 18, 13, 8, 3-5 18, 9, 4.5, 2.25÷2 18, 20, 22, 24 +2 Definitions: G(1) = 18, G(n)=G(n-1), n ≥ 2 • H(1) = 3, H(n) = 5. H(n-1), n ≥ 2 J(1) = 3, J(n) = J(n-1) +5, n ≥ 2 K(1) = 18, K(n) = K(n-1) - 5, n ≥ 2 L(1) = 18, L(n) = 2- L(n-1), n ≥ 2 M(1) = 3, M (n) = 2. M(n-1), n ≥ 2 6.3: Squares of Squares Here is a pattern where the number of small squares increases with each new step. Step 1 +4 Step 2 +9 Step 3 14 1. Write a recursive definition for the total number of small squares S(n) in Step n.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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Question
Sequences:
3612 24x2
18, 36, 72, 144x2
3, 8, 13, 1841
18, 13, 8, 3-5
18, 9, 4.5, 2.25÷2
18, 20, 22, 24 +2
Definitions:
G(1) = 18, G(n)=G(n-1), n ≥ 2
H(1) = 3, H(n) = 5. H(n-1), n ≥ 2
J(1) = 3, J(n) - J(n-1) +5, n ≥ 2
K(1)= 18, K(n)= K(n-1)-5, n ≥ 2
·
L(1) = 18, L(n) = 2 L(n-1), n ≥ 2
M(1) = 3, M(n) = 2. M(n-1), n ≥ 2
6.3: Squares of Squares
Here is a pattern where the number
of small squares increases with each
new step.
Step 1
+4
Step 2
+9
Step 3
14
1. Write a recursive definition for the total number of small squares S(n) in Step n.
Transcribed Image Text:Sequences: 3612 24x2 18, 36, 72, 144x2 3, 8, 13, 1841 18, 13, 8, 3-5 18, 9, 4.5, 2.25÷2 18, 20, 22, 24 +2 Definitions: G(1) = 18, G(n)=G(n-1), n ≥ 2 H(1) = 3, H(n) = 5. H(n-1), n ≥ 2 J(1) = 3, J(n) - J(n-1) +5, n ≥ 2 K(1)= 18, K(n)= K(n-1)-5, n ≥ 2 · L(1) = 18, L(n) = 2 L(n-1), n ≥ 2 M(1) = 3, M(n) = 2. M(n-1), n ≥ 2 6.3: Squares of Squares Here is a pattern where the number of small squares increases with each new step. Step 1 +4 Step 2 +9 Step 3 14 1. Write a recursive definition for the total number of small squares S(n) in Step n.
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