Arithmetic Sequences

Find the next three terms in the arithmetic sequence:

-33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

Define arithmetic sequences.

• A sequence whose terms change by adding the same number each time.

• A sequence whose terms change by multiplying the same number each time.

• A sequence whose terms change by dividing the same number each time.

• A list of numbers that often (but not always) form a pattern.

Define common difference.

• the product between two consecutive terms of a geometric sequence.

• the product between two consecutive terms of an arithmetic sequence.

• the difference between two consecutive terms of an arithmetic sequence.

• the difference between two consecutive terms of a geometric sequence.

Find the common difference: -34, -29, -24, -19, ...

• d = -5

• d = 5

• d = -6

• d = 6

Is the sequence arithmetic?

17, 9, 1, -7, ...

• Yes

• No

Is the sequence arithmetic?

78, 785, 7855, 78555, ...

• Yes

• No

What are the first 4 terms of an arithmetic sequence with a pattern of -6 if the first term is 76?

• 76, 70, 64, 58

• 76, 82, 88, 94

• 70, 64, 58, 52

• 82, 88, 94, 100

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes

• No

Find the pattern: -34, -29, -24, -19, ...

• -5

• +5

• -6

• +6