Directions: Complete the problems below, Review the instruction material which relates to any questions. I - Solve the use the Polya's Strategy on your own. 1. Each triangle in the figure below has 3 dots. Study the pattern and find the number of dots for 7 layers of triangles. 3 layers 4 layers 1 layer 3 dots 2 layers 6 dots 10 dots 15 dots

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Directions: Complete the problems below. Review the instruction material
which relates to any questions.
I - Solve the use the Polya's Strategy on your own.
1. Each triangle in the figure below has 3 dots. Study the pattern and
find the number of dots for 7 layers of triangles.
1 layer
3 dots
2 layers
6 dots
3 layers
4 layers
10 dots
15 dots
2.
The table below shows numbers placed into groups I, II, III, IV, V
and VI. In which groups would the following numbers belong?
a) 90
b) 122
c) 172
13
19
25
31
37
II
14
20
26
32
38
III
15
21
27
33
39
16
22
28
34
IV
17
23
29
35
24
30
36
VI
18
Transcribed Image Text:Directions: Complete the problems below. Review the instruction material which relates to any questions. I - Solve the use the Polya's Strategy on your own. 1. Each triangle in the figure below has 3 dots. Study the pattern and find the number of dots for 7 layers of triangles. 1 layer 3 dots 2 layers 6 dots 3 layers 4 layers 10 dots 15 dots 2. The table below shows numbers placed into groups I, II, III, IV, V and VI. In which groups would the following numbers belong? a) 90 b) 122 c) 172 13 19 25 31 37 II 14 20 26 32 38 III 15 21 27 33 39 16 22 28 34 IV 17 23 29 35 24 30 36 VI 18
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