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Find the next number in the sequence. Describe the pattern in the sequence. See Examples.
2, 9, 16, 23, 30,…
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We wish to find here the next number in sequence 
To discover a pattern, calculate the difference between each pair of successive numbers. 
The difference is always 
. Each number is 
greater than the previous one. Thus the next number of the pattern is 
Find the next number in the sequence. Describe the pattern in the sequence. See Examples.
5, 8, 11, 14, 17,…
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Essay
Answer:
Answer:
We wish to find here the next number in sequence 
To discover a pattern, calculate the difference between each pair of successive numbers. 
The difference is always 
. Each number is 
greater than the previous one. Thus the next number of the pattern is 
Find the next number in the sequence. Describe the pattern in the sequence. See Examples.
0, 10, 8, 18, 16,…
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Answer:
We wish to find here the next number in sequence 
The pattern in the above sequence involves addition and subtraction 
To get the second number, we add 
to the first number. To get the third number, we subtract 
from the second number. Thus the next number of the pattern is 
Find the next number in the sequence. Describe the pattern in the sequence. See Examples.
1, 4, 16, 64,…
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Find the next number in the sequence. Describe the pattern in the sequence. See Examples.
1, 3, 9, 27, 81,…
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Find the next number in the sequence. Describe the pattern in the sequence. See Examples.
3, 6, 12, 24, 48,…
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Find the next number in the sequence. Describe the pattern in the sequence. See Examples
1, 4, 9, 16, 25, …
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Find the next number in the sequence. Describe the pattern in the sequence. See Examples.
6, 7, 9, 12, 16,…
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For each argument, draw Euler circles and then state whether or not the conclusionfollows from the premises. See Examples
All animals are wild.
All lions are animals.
All lions are wild.
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For each argument, draw Euler circles and then state whether or not the conclusionfollows from the premises. See Examples
All students are hard workers.
All business majors are students.
All business majors are hard workers.
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For each argument, draw Euler circles and then state whether or not the conclusionfollows from the premises. See Examples
All teachers are serious.
All mathematicians are serious.
All mathematicians are teachers.
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For each argument, draw Euler circles and then state whether or not the conclusionfollows from the premises. See Examples
All boys ride bikes.
All Americans ride bikes.
All Americans are boys.
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Solve the application problem. See Examples
In a given 30-day period, a husband watched television 20 days and his wife watched television 25 days. If they watched television together 18 days, how many days did neither watch television Draw a Venn diagram.
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Solve the application problem. See Examples
In a class of 40 students, 21 students take both calculus and physics. If 30 students take calculus and 25 students take physics, how many do not take either calculus or physics Draw a Venn diagram.
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Solve the application problem. See Examples
Tom, Dick, Mary, and Joan all work for the same company. One is a secretary, one is a computer operator, one is a receptionist, and one is a mail clerk.
(a) Tom and Joan eat dinner with the computer operator.
(b) Dick and Mary carpool with the secretary.
(c) Mary works on the same floor as the computer operator and the mail clerk.
Who is the computer operator
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Solve the application problem. See Examples
Four cars-a Ford, a Buick, a Mercedes, and an Audi-are parked in a garage in four spaces.
(a) The Ford is in the last space.
(b) The Buick and Mercedes are next to each other.
(c) The Audi is next to the Ford but not next to the Buick.
Which car is in the first space
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