Understanding Sequences in Mathematics

What is the common difference in the arithmetic sequence 3, 7, 11, 15?

• 6

• 4

• 2

• 8

Identify whether the sequence 2, 6, 18, 54 is arithmetic, geometric, or neither.

• quadratic

• neither

• arithmetic

• geometric

Calculate the sum of the first 10 terms of the arithmetic sequence 5, 10, 15, ...

• 275

• 300

• 250

• 200

What is the 8th term in the Fibonacci sequence?

• 13

• 5

• 8

• 21

Determine if the sequence 1, 1/2, 1/3, 1/4 is an arithmetic sequence, geometric sequence, or harmonic sequence.

• harmonic sequence

• arithmetic sequence

• geometric sequence

• quadratic sequence

Find the sum of the first 5 terms of the geometric sequence 3, 6, 12, 24.

• 45

• 60

• 93

• 75

What is the next number in the Fibonacci sequence: 0, 1, 1, 2, 3, 5, ...?

• 10

• 8

• 13

• 6

Identify the first term of the harmonic sequence that starts with 1, 1/2, 1/3, ...

• 1

• 0

• 2

• 1/4

• 1/5

What is the common ratio in the geometric sequence 4, 12, 36, 108?

• 3

• 2

• 4

• 6

Calculate the sum of the first 6 terms of the arithmetic sequence 2, 5, 8, ...

• 57

• 30

• 72

• 45