The drawings below show the first three diagrams in a sequence. agram 1 Diagram 2 Each diagram is made up of wires of equal length which are joined at the ends by balls of plasticine. Diagram I is made of 12 wires and 8 balls. Each new diagram in the sequence is formed by fitting the frame shown below to the right of the previous diagram. Thus, Diagram 2 has 8 more wires and 4 more balls than Diagram 1. On the answer sheet provided: (a) (b) (c) Draw a sketch of Diagram 4, the fourth diagram in the sequence. Complete the table by inserting the missing values at the rows marked (i) and (ii). (ii) Diagram 3 Name of Diagram No. of Wires (N) (W) 1 12 20 28 (ii) 2 3 4 20 No. of Balls (B) 8 12 16 Write the rules which may be used to find the values of W and of B where N is known.
The drawings below show the first three diagrams in a sequence. agram 1 Diagram 2 Each diagram is made up of wires of equal length which are joined at the ends by balls of plasticine. Diagram I is made of 12 wires and 8 balls. Each new diagram in the sequence is formed by fitting the frame shown below to the right of the previous diagram. Thus, Diagram 2 has 8 more wires and 4 more balls than Diagram 1. On the answer sheet provided: (a) (b) (c) Draw a sketch of Diagram 4, the fourth diagram in the sequence. Complete the table by inserting the missing values at the rows marked (i) and (ii). (ii) Diagram 3 Name of Diagram No. of Wires (N) (W) 1 12 20 28 (ii) 2 3 4 20 No. of Balls (B) 8 12 16 Write the rules which may be used to find the values of W and of B where N is known.
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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Transcribed Image Text:The drawings below show the first three diagrams in a sequence.
agram 1
Diagram 2
Each diagram is made up of wires of equal length which are joined at the ends by balls of plasticine.
Diagram I is made of 12 wires and 8 balls. Each new diagram in the sequence is formed by fitting
the frame shown below to the right of the previous diagram.
Thus, Diagram 2 has 8 more wires and 4 more balls than Diagram 1.
On the answer sheet provided:
(a)
(b)
(c)
Draw a sketch of Diagram 4, the fourth diagram in the sequence.
Complete the table by inserting the missing values at the rows marked (i) and (ii).
(ii)
Diagram 3
Name of Diagram No. of Wires
(N)
(W)
1
12
20
28
(ii)
2
3
4
20
No. of Balls
(B)
8
12
16
Write the rules which may be used to find the values of W and of B where N is known.
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