oject 2: Number Patterns, p. 5 Block Patterns il thu 102ad letter be? lotim bet The 25Show how you a.) Use the pattern to draw the third figure. Figure 0 figure 3 (draw it) figure 1 figure 2 row (int 6, 10, b.) Write the total number of blocks in each figure, Use the pattern of successive differences to find the number of blocks in the 7th figure: n =0 1 3 4 1, 5, Explain how you know. c.) Write an algebraic formula for the number of blocks that will be in the nth figure. Use the variable, n (see sec. 2.1, p. 7, for help). ain how you lnow. d.) Test that your formula is correct by showing that it works for n = 3, to give you the correct number of blocks in the third figure.
oject 2: Number Patterns, p. 5 Block Patterns il thu 102ad letter be? lotim bet The 25Show how you a.) Use the pattern to draw the third figure. Figure 0 figure 3 (draw it) figure 1 figure 2 row (int 6, 10, b.) Write the total number of blocks in each figure, Use the pattern of successive differences to find the number of blocks in the 7th figure: n =0 1 3 4 1, 5, Explain how you know. c.) Write an algebraic formula for the number of blocks that will be in the nth figure. Use the variable, n (see sec. 2.1, p. 7, for help). ain how you lnow. d.) Test that your formula is correct by showing that it works for n = 3, to give you the correct number of blocks in the third figure.
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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B, C and d please.
Transcribed Image Text:Project 2: Number Patterns, p. 5
3. Block Patterns
What wi theu 102ad letter be?
lottos be? The 252Show how you
a.) Use the pattern to draw the third figure.
Figure 0
figure 3 (draw it)
figure 1
figure 2
(hint 6. 10,
b.) Write the total number of blocks in each figure, Use the pattern of successive
differences to find the number of blocks in the 7th figure:
n = 0
1
3
4
6.
1,
5,
2 Explain how you know.
c.) Write an algebraic formula for the number of blocks that will be in the nth figure.
Use the variable, n (see sec. 2.1, p. 7, for help).
Explain how you lenow.
d.) Test that your formula is correct by showing that it works for n = 3, to give you the
correct number of blocks in the third figure.
e) you rai to the 10 power, what will the last di
Star wish
abtera firel Pnd the Jast digit of 7, 7, eto Look fora
4. Repeating Patterns.
a.) If you raise 5 to the 47th power, 5ª", what will the last digit be? Since you cannot go
that high on your calculator, try smaller powers of 5. Show several examples, then
write your conjecture (prediction) for the last digit of 547.
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