First, consider cells arranged in a line: Pattern 1 Pattern 2 Pattern 3 Pattern 4 The aim is to know the connection between the number of cells and the number of walls for the different arrangements of the cells. 3.1.1 Complete the following table No. of cells (t) No. of walls (w) 2 4 26 3.1.2 Now write down a formula for w in terms of t. 3.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 27A: Write a CNC G-code program to machine the part in the following figure, so that the tip of the tool...
icon
Related questions
Question
Need all questions answered
You are investigating bees' honeycombs for a project.
3.1
First, consider cells arranged in a line:
Pattern 1 Pattern 2
Pattern 3
Pattern 4
The aim is to know the connection between the number of cells and the number
of walls for the different arrangements of the cells.
3.1.1 Complete the following table
No. of cells (t)
No. of walls (w)
1
3
4
26
3.1.2 Now write down a formula for w in terms of t.
3.2
Next consider cells arranged in the following patterns:
Pattern 1
Pattern 2
Pattern 3
Pattern 4
The aim is to know the connection between a pattern/ triangular arrangement
and the number of cells in that pattern.
3.2.1
(a)
If the patterns form a sequence in terms of the number cells,
write down the number of cells in pattern 5.
(b)
Determine an expression for the n™ term of the sequence.
3.2.2 The aim is to know the connection between a pattern/ triangular arrangement
and the number of walls in that pattern.
(a)
If the patterns form a sequence in terms of number of walls,
determine an expression for the nh term of the sequence.
(b)
Hence determine the number of walls in a triangular honeycomb
with 10 rows.
Transcribed Image Text:You are investigating bees' honeycombs for a project. 3.1 First, consider cells arranged in a line: Pattern 1 Pattern 2 Pattern 3 Pattern 4 The aim is to know the connection between the number of cells and the number of walls for the different arrangements of the cells. 3.1.1 Complete the following table No. of cells (t) No. of walls (w) 1 3 4 26 3.1.2 Now write down a formula for w in terms of t. 3.2 Next consider cells arranged in the following patterns: Pattern 1 Pattern 2 Pattern 3 Pattern 4 The aim is to know the connection between a pattern/ triangular arrangement and the number of cells in that pattern. 3.2.1 (a) If the patterns form a sequence in terms of the number cells, write down the number of cells in pattern 5. (b) Determine an expression for the n™ term of the sequence. 3.2.2 The aim is to know the connection between a pattern/ triangular arrangement and the number of walls in that pattern. (a) If the patterns form a sequence in terms of number of walls, determine an expression for the nh term of the sequence. (b) Hence determine the number of walls in a triangular honeycomb with 10 rows.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt