Arithmetic Sequencing

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ... (Hint: Write the explicit rule first, then use it to solve)

• -216

• -148

• -146

• -150

What is the difference between two numbers in an arithmetic sequence called?

• common difference

• term

• sequence

• number

The next two terms of the sequence 12,17,22,27 are

• 28 and 33

• 29 and 34

• 32 and 37

• 30 and 35

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

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

• 18

• 17

• 15

• 14

Select the explicit rule that represents the sequence.

• 6 + 5(n - 1)

• 4 + 6(n - 1)

• 6 - 4(n - 1)

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