Sequences Midterm Review

Identify the common difference.

-6, -3, 0, 3, 6....

• 4

• 3

• -4

• -3

What is the 15th term of the sequence a_n = -3n+50

• 95

• -5

• 5

• -95

Create the explicit formula for the sequence:

2, 8, 14, ... a₁=2

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

Find the explicit formula:

-3, -33, -63, -93, ... a₁= -3

(Hint: substitute term number in and see if it gives you the correct term)

• a_n = -3 - 30(n -1)

• a_n = -3 + 30(n -1)

• a_n = -30 - 3(n -1)

• a_n = -30 + 3(n -1)

Given the sequence:

25, 21, 17, 13,... a₁=25

Write the explicit equation that models the sequence. (Hint: Substitute.)

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

Find the 32nd term of this sequence.

34, 37, 40, 43, ... a₁=34

(Hint: write the explicit formula, then use substitution.)

• 32

• 64

• 127

• 356

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.

What does a₁ represent?

• Any term

• First term

• Last term

Identify a₁

97, 86, 75, 64, ...

• 64

• 11

• -11

• 97

a1 =

• 1

• 2

• 3

• 5