Exploring Sequences and Series

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

• 2

• 6

• 4

• 5

Identify whether the sequence 2, 6, 18, 54 is arithmetic or geometric.

• arithmetic

• linear

• quadratic

• geometric

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

• 300

• 250

• 225

• 275

What is the 7th term of the geometric sequence 4, 12, 36, ...?

• 108

• 432

• 2916

• 1458

If the first term of an arithmetic sequence is 2 and the common difference is 3, what is the 15th term?

• 44

• 50

• 32

• 38

Determine the sum of the series 1 + 2 + 3 + ... + 100.

• 2500

• 1000

• 505

• 5050

Is the sequence 1, 1/2, 1/4, 1/8 an arithmetic or geometric sequence?

• geometric

• quadratic

• harmonic

• arithmetic

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

• 45

• 60

• 93

• 75

If a sequence is defined by the formula a_n = 5n + 2, what is the 10th term?

• 50

• 52

• 55

• 48

Calculate the sum of the series 2 + 4 + 8 + 16 + ... + 64.

• 120

• 126

• 128

• 100