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

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

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

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

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

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.

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

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

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.

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.