Unit 2 - Sequences

Sequence patterns

100

Find the last 3 terms: 2, 4, 6, 8,...,...,...

What is 10, 12, 14?

200

Find the pattern: S, M, T, W, T, F, S

What are the days of the week?

300

Complete the sequence with the last 3 terms: 5,10,15,20,...,...,...

What is 25,30,35?

400

Find the pattern: J, F, M, A, M, J, J, A, S, O, N, D

What is months of a year?

500

Explain/complete the pattern: 100, 81, 64, 49,...,...,...

What is decreasing perfect squares - 36, 25, 16?

Arithmetic sequences

100

Whats the first term in the formula a_n=4+2(n-1)

What is -4?

200

Whats the common value in this arithmetic formula a_n=4+2(n-1)

What is 2?

300

What is the common value in this sequence -4,-2,0,2,4

What is +2

400

What is the common value in this sequence 6.5,5,3.5,2

What is -1.5?

500

What is the common value in this sequence 4, 7/4, -1/2, -11/4

What is -2.25

Geometric sequences

100

What is the first term in the formula a_n=9(-3)^n-1

What is 9?

200

Whats the common value in this geometric formula a_n=9(-3)^n-1

What is -3?

300

What is the common value in this sequence 45,90,180,360

What is x2

400

What is the common value in this sequence -16,4,-1, 1/4

What is divided by -4 or times -1/4?

500

What is the common value in this sequence -5, -5/2, -5/4, -5/8

What is x1/2?

Terms

100

Adding or subtracting the same number to get the next term

What is a arithmetic sequence?

200

Multiplying or dividing by the same number to get the next term in the sequence

What is a geometric sequence?

300

a_n=a₁+d(n-1)

What is the arithmetic explicit formula?

400

a_n=a₁(r)^n-1

What is the geometric explicit formula?

500

What do you need to know for the recursive formula?

What is the previous term?

Word problems

100

Barker's Bakery sold 20 dog cakes during the first week of operation, 27 dog cakes during week 2, and 34 during week 3. If this pattern would continue, describe it and write the first 5 terms of the sequence.

What is +7 dog cakes each time - 20,27,34,41,48?

200

A large barrel starts with 6 ounces of water in it. During a heavy rainstorm, the amount of water in the barrel doubles every minute. If this pattern would continue, describe it and write the first 5 terms of the sequence.

What is x2 - 6,12,24,48,96

300

Greta must complete 225 hours of community service. She plans to volunteer for 6 hours each week. If this pattern would continue, describe it and write the first 5 terms of the sequence.

What is either +6 hours each week - 6,12,18,24,30 or -6 hours each week - 225,219,213,207,201.

400

A large barrel starts with 6 ounces of water in it. During a heavy rainstorm, the amount of water in the barrel doubles every minute. Write both the recursive and explicit formulas to represent the sequence

What is 

a_n=a_n-1(2)

a_n=12(2)^n-1

500

Greta must complete 225 hours of community service. She plans to volunteer for 6 hours each week. Using the formula a_n=225-6n, determine how many weeks Greta must volunteer in order to complete her hours.

What is 37.5 weeks (38 weeks rounded)?

(Used the formula 0=225-6n and solved for n)