Patterns and Sequences

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15.1875

If the numbers below form a geometric sequence, identify the 5th term in the sequence: 3, 4.5, 6.75, 10.125, ....

344

Fill in the blanks of the sequence below knowing that it is either arithmetic or geometric: 309, 326.5, ____, 361.5 ....

28.8

Fill in the blanks of the sequence below: 20, 24, ____, 34.56, ....

Arithmetic with a common difference of 17.

For the sequence below, identify the type of sequence and its important features. 12, 29, 46, 63 .

Arithmetic with a common difference of 5.

For the sequence below, identify the type of sequence and its important features. 7.5, 12.5, 17.5, 22.5 ...

This sequence is neither geometric or arithmetic.

For the sequence below, identify the type of sequence and its important features. 8, 9, 11, 14, 19, 25, 32 ...

Geometric with a growth factor of 1.25.

For the sequence below, identify the type of sequence and its important features. 4, 5, 6.25, 7.8125 ..

geometric with a growth factor of 1.8

For the sequence below, identify the type of sequence and its important features: 1, 1.8, 3.24, 5.832, ....

This sequence is neither geometric or arithmetic.

For the sequence shown below, identify the type of sequence and its important features. 1, 1, 2, 3, 5, 8, 13, 21 ...

Geometric with a growth factor of 2.

2, 4, 6, 8, 10

The 2nd term in the sequence.

A geometric sequence has a growth factor of 0.6 and an initial starting value greater than 0.

It is decreasing because the growth factor is less than 1

A geometric sequence has a growth factor of 0.6 and an initial starting value of 0.9.

The 3rd term in the sequence.

A geometric sequence has a growth factor of 0.8 and an initial starting value greater than 0. Which of the following values will be greatest?

The sequence is increasing because the growth factor is greater than 1.

A geometric sequence has a growth factor of 1.2 and an initial starting value of 0.9. Which sentence best describes the behavior of this sequence?

The 17th term in the sequence

A geometric sequence has a growth factor of 1.4 and an initial starting value greater than 0. Which of the following values will be greatest?

The 8th term in the sequence.

A geometric sequence has a growth factor of 1.5 and an initial starting value greater than 0. Which of the following values will be greatest?

arthimetic sequence

a sequence in which each term is found by adding the previous term by the same number.

geometric sequence

a sequence in which each term is found by multiplying the previous term by the same number

Common difference

the difference between the terms in an arithmetic sequence

common ratio

you can just divide each number from the number preceding it in the sequence


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