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QUESTION 3 You are investigating hees' honeycombs for a project. 3.1 First, consider cells arranged in a line: 0.00 000 Pattern I Patten 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 (7) No, of walls ( w) 26 3.1.2 Now write down a formula for w in terms of r ing natterns

QUESTION 3 You are investigating hees' honeycombs for a project. 3.1 First, consider cells arranged in a line: 0.00 000 Pattern I Patten 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 (7) No, of walls ( w) 26 3.1.2 Now write down a formula for w in terms of r ing natterns

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 3 You are investigating hees honcycombs for a project. 3.1 First, consider cells arrunged in a line: 00 8. Pattern 3 Patten 4 Pattern I Pattern 2 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 () No of walls (w) 26 (2) 3.1.2 Now write down a formula for w in terms of 1 32 Next consider cells arranged in the following patterns: Pattern I Pattern 2 Pattern 3 Pattern 4 3.2.1 The aim is to know the connection between a pattern/ triangular arrangement n uf ells in d pii If the patterns form a sequence in terms of the number cells, write down the number of cells in pattern 5. S tells (a) (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 n" term of the sequence. (b) Hence determine the number of walls in a triangular honeyoomb with 10 rows.
Transcribed Image Text:QUESTION 3 You are investigating hees honcycombs for a project. 3.1 First, consider cells arrunged in a line: 00 8. Pattern 3 Patten 4 Pattern I Pattern 2 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 () No of walls (w) 26 (2) 3.1.2 Now write down a formula for w in terms of 1 32 Next consider cells arranged in the following patterns: Pattern I Pattern 2 Pattern 3 Pattern 4 3.2.1 The aim is to know the connection between a pattern/ triangular arrangement n uf ells in d pii If the patterns form a sequence in terms of the number cells, write down the number of cells in pattern 5. S tells (a) (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 n" term of the sequence. (b) Hence determine the number of walls in a triangular honeyoomb with 10 rows.
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