Arithmetic and Geometric Sequences

What is the common difference in the sequence: 10, 7, 4, 1, ...?

• -1

• -2

• -3

• -4

Find the 12th term of the arithmetic sequence: 5, 8, 11, ...

• 35

• 38

• 40

• 42

If the first term of a geometric sequence is 4 and the common ratio is 2, what is the 6th term?

• 64

• 128

• 256

• 32

What is the formula for the nth term of a geometric sequence?

• a_n = a_1 * r^(n-1)

• a_n = a_1 + r(n-1)

• a_n = a_1 / r^(n-1)

• a_n = r * n

Find the next three terms in the geometric sequence: 4, 12, 36, ...

• 108, 324, 972

• 100, 300, 900

• 120, 360, 1080

• 80, 240, 720

Find the 12th term of the geometric sequence: 2, 6, 18, ...

• 354294

• 177147

• 531441

• 118098

What is the common ratio in the sequence: 3, 9, 27, ...?

• 1

• 2

• 3

• 4

Find the next three terms in the arithmetic sequence: 2, 5, 8, ...

• 9, 12, 15

• 10, 13, 16

• 11, 14, 17

• 12, 15, 18

If the first term of an arithmetic sequence is 10 and the common difference is -2, what is the 5th term?

• 0

• 2

• 4

• 6

What is the formula for the nth term of an arithmetic sequence?

• a_n = a_1 + (n-1)d

• a_n = a_1 * n + d

• a_n = a_1 - (n-1)d

• a_n = d/n + a_1