Math 1100 Chapters 1.1-1.2

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128

Determine the most probable next term in the following list of numbers. 4​, 8​, 16​, 32​,

8

Determine the most probable next term in the following list of numbers. 8​, 4​, 8​, 8​, 4​, 8​, 8​, 8​, 4​, 8​, 8​, 8​, 8​, 4​, 8​, 8​, 8​,

13/15

Determine the most probable next term in the list of numbers. 3/5​, 5/7​, 7/9​, 9/11​, 11/13,

1

Determine the most probable next term in the list of numbers. 32,16,8,4,2,

23

Determine the most probable next term in the list of numbers. 8​, 11​, 14​, 17​,

The reasoning is deductive because general principles are being applied to specific examples.

Determine whether the reasoning is an example of deductive or inductive reasoning. A movie has a person stranded on a tropical island. He approximates his distance from where the plane lost radio contact to be 400 miles​ (a radius), and uses the formula for the area of a​ circle, Area=π(radius)2​, to determine that a search party would have to cover an area of over​ 500,000 square miles to look for him.

The reasoning is deductive because general principles are being applied to specific examples.

Determine whether the reasoning is an example of deductive or inductive reasoning. If the mechanic says that it will take seven days to repair your​ SUV, then it will actually take ten days. The mechanic​ says, "I figure​ it'll take exactly one week to fix​ it, ma'am." Then you can expect it to be ready ten days from now.

The reasoning is deductive because general principles are being applied to specific examples.

Determine whether the reasoning is an example of deductive or inductive reasoning. If you build​ it, they will come. You build it.​ Therefore, they will come.

The reasoning is inductive because a general conclusion is being made from repeated observations of specific examples.

Determine whether the reasoning is an example of deductive or inductive reasoning. In the sequence 11​, 13​, 15​, 17​, 19​, ​..., the most probable next term is 21.

The reasoning is inductive because a general conclusion is being made from repeated observations of specific examples.

Determine whether the reasoning is an example of deductive or inductive reasoning. It has rained every day for the past six​ days, and it is raining today as well. So it will also rain tomorrow.

The reasoning is inductive because a general conclusion is being made from repeated observations of specific examples.

Determine whether the reasoning is an example of deductive or inductive reasoning. It is a fact that every student who ever attended Delgado University was accepted into graduate school. Because I am attending Delgado​ University, I can expect to be accepted to graduate​ school, too.

The reasoning is inductive because a general conclusion is being made from repeated observations of specific examples.

Determine whether the reasoning is an example of deductive or inductive reasoning. The next number in the pattern 24​, 28​, 32​, 36​, 40 is 44

The reasoning is deductive because general principles are being applied to specific examples.

Determine whether the reasoning is an example of deductive or inductive reasoning. To find the perimeter P of a square with side of length​ s, I can use the formula P=4s. So the perimeter of a square with side of length 7 inches is 4×7=28 inches.

Neither arithmetic nor geometric.

Determine whether the sequence is an arithmetic​ sequence, a geometric​ sequence, or neither. If it is either arithmetic or​ geometric, give the next term in the sequence. 1​, 4​, 25​, 125​, 625​,...

Geometric. 4.

Determine whether the sequence is an arithmetic​ sequence, a geometric​ sequence, or neither. If it is either arithmetic or​ geometric, give the next term in the sequence. 4096​, 1024​, 256​, 64​, 16​,...

Arithmetic. 21.

Determine whether the sequence is an arithmetic​ sequence, a geometric​ sequence, or neither. If it is either arithmetic or​ geometric, give the next term in the sequence. 6​, 9​, 12​, 15​, 18​,...

49

Find the next number in the sequence. 9​, 16​, 25​, 36​, ...

Geometric. 32.

For the following​ sequence, determine if it is an arithmetic​ sequence, a geometric​ sequence, or neither. If it is either arithmetic or​ geometric, give the next term in the sequence. 1​, 2​, 4​, 8​, 16​,...

Neither arithmetic nor geometric.

For the following​ sequence, determine if it is an arithmetic​ sequence, a geometric​ sequence, or neither. If it is either arithmetic or​ geometric, give the next term in the sequence. 6​, 9​, 15​, 24​, 39​, 63​,

Arithmetic. 22

For the following​ sequence, determine if it is an arithmetic​ sequence, a geometric​ sequence, or neither. If it is either arithmetic or​ geometric, give the next term in the sequence. 7​, 10​, 13​, 16​, 19​,...

49

Identify a pattern in this list of numbers. Then use this pattern to find the next number.​ 1​, 4​, 9​, 16​, 25​, 36​, ​

87

Identify the pattern in the list of numbers. Then use this pattern to find the next number. 3​, 9​, 12​, 21​, 33​, 54​,

3474

Use differences to find a pattern in the sequence. 2​, 14​, 64​, 202​, 502​, 1062​,

109

Use the method of successive differences to determine the next number in the given sequence. 4​, 10​, 19​, 31​, 46​, 64​,


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