Day 60: Mon 4/19 Sequences Homework

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Find the 32nd term of this sequence.

34, 37, 40, 43, ...

Hint: use the explicit formula

• 32

• 64

• 127

• 356

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

• Arithmetic
• Geometric
• Neither

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

Use the explicit formula

• $50

• $35

• $320

• $250

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

Identify the common difference or ratio.

3, 7, 11, 15, ...

• Ratio, -4

• Difference, -4

• Difference, 4

• Ratio, 4

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

• Geometric
• Arithmetic
• Both
• Neither

What is a₁ in the sequence defined as follows?

a_n = 5 ⋅ 2^(n-1)

• a₁ = 160

• a₁ = 40

• a₁ = 5

• a₁ = 2

What is the explicit rule for the sequence:
11, 22, 44, 88...

• u_n = 2(11)^n-1
• u_n = 11(2)
• u_n = 11(2)^n-1