Geometric Sequence from a Pattern

For the sequence below, identify the type of sequence and important features.

7, 14, 28, 56 ....

• Geometric sequence with an initial value of 7 and a growth factor of 2

• This sequence is neither arithmetic nor geometric

• Geometric sequence with an initial value of 2 and a growth factor of 7

• Arithmetic sequence with an initial value of 7 and a common difference of 7

Tags

CCSS.HSF.BF.A.2

For the sequence shown below, identify the type of sequence and its important features.

1, 1, 2, 3, 5, 8, 13, 21 ...

• Geometric sequence with an initial value of 1 and a growth factor of 2.

• Arithmetic sequence with an initial value of 1 and a common difference of 0

• Arithmetic sequence with an initial value of 1 and a common difference of 1

• This sequence is neither arithmetic nor geometric

Tags

CCSS.HSF.BF.A.2

For the sequence below, identify the type of sequence and its important features.

4, 5, 6.25, 7.8125 ...

• Geometric sequence with an initial value of 4 and a growth factor of 1.25

• This sequence is neither arithmetic nor geometric.

• Geometric sequence with an initial value of 4 and a growth factor of 1

• Arithmetic sequence with an initial value of 4 and a common difference of 1

Tags

CCSS.HSF.BF.A.2

For the sequence below, identify the type of sequence and its important features.

8, 9, 11, 14, 19, 25, 32 ...

• This sequence is neither arithmetic nor geometric.

• Arithmetic sequence with an initial value of 8 and a common difference of 1

• Arithmetic sequence with an initial value of 8 and a common difference of 7

• Geometric sequence with an initial value of 8 and a growth factor of 2

Tags

CCSS.HSF.BF.A.2

For the sequence below, identify the type of sequence and its important features.

12, 29, 46, 63 ...

• Arithmetic sequence with an initial value of 12 and a common difference of 17

• This sequence is neither arithmetic nor geometric

• Geometric sequence with an initial value of 12 and a growth factor of 17

• Arithmetic sequence with an initial value of 17 and a common difference of 12

Tags

CCSS.HSF.BF.A.2

For the sequence below, identify the type of sequence and its important features:

1, 1.8, 3.24, 5.832, ...

• The sequence is neither geometric nor arithmetic

• Geometric sequence with an initial value of 1 and a growth factor of 1.8.

• Arithmetic sequence with an initial value of 1.8 and a growth factor of 1.

• Arithmetic sequence with an initial value of 1 and a growth factor of 1.8.

• Geometric sequence with an initial value of 1.8 and a growth factor of 1.

Tags

CCSS.HSF.BF.A.2

For the sequence below, identify the type of sequence and its important features:

8, 12, 18, 27, ....

• The sequence is neither geometric nor arithmetic.

• Arithmetic sequence with an initial value of 8 and a common difference of 6

• Arithmetic sequence with an initial value of 8 and a common difference of 4.

• Geometric sequence with an initial value of 8 and a growth factor of 1.5.

• Geometric sequence with an initial value of 8 and a growth factor of 2

Tags

CCSS.HSF.BF.A.2

Identify the 5th term in the sequence knowing that this sequence is either geometric or arithmetic:

255, 271, 287, 303, ...

• This sequence is neither geometric nor arithmetic, so the 5th term cannot be determined.

• 316

• 319

• 321

Tags

CCSS.HSF.BF.A.2

Identify the 5th term in the sequence assuming that the sequence is either arithmetic or geometric:

94.5, 95.8, 97.1, 98.4, ....

• 102.3

• 127.92

• 99.7

• This sequence is neither geometric nor arithmetic, so the 5th term cannot be determined.

Tags

CCSS.HSF.BF.A.2

Fill in the blanks of the sequence below knowing that it is either arithmetic or geometric:

309, 326.5, ____, 361.5, ____, ....

• 309, 326.5, 341, 361.5, 382, ....

• 309, 326.5, 344, 361.5, 379, ....

• 309, 326.5, 363.48, 361.5, 381.97, ....

• This sequence is neither geometric nor arithmetic, so the 3rd and 5th terms cannot be determined.

Tags

CCSS.HSF.BF.A.2