Module 1 Review

Is the sequence arithmetic or geometric? 37, 31, 25, 19, ...

• arithmetic

• geometric

Given the first term, f(1) = 3 and the common difference of 5, find the first 5 terms.

• 3,8,13,20,27

• 3,15,75,375,1875

• 3,8,13,18,23

A bacteria colony starts with 5 bacteria and triples every hour. How would you write an explicit equation to model this situation?

• f(x) = 3 * 5^x

• f(x) = 3x + 5

• f(x) = 5 * 3^x

Shannon started a savings account by putting in $25. On the 1st week, she deposited $15 and plans to continue depositing $15 each week. Write a recursive function to model this. Identify the start and common ratio/difference.

• f(0)=15; f(n) = f(n-1) + 25

• f(1) = 25; f(n) = f(n-1) + 15

Shannon started a savings account by putting in $25. On the 1st week, she deposited $15 and plans to continue depositing $15 each week. Write an explicit function to model this. Identify the start and common ratio/difference.

• f(n) = 40n-15

• f(n) = 15n

• f(n) = 15(n-1) + 25

256, 128, 64, 32, ...

Write a rule for the given sequence

• f(1) = 256; f(n) = f(n-1)• 2

• f(1) = 256; f(n) = f(n-1)• 1/2

• f(1) = 256; f(n) = f(n-1)+ 2

• f(1) = 256; f(n) = f(n-1)÷ 1/2

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 6)

• geometric (common ratio r = 4)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Tags

CCSS.HSF.BF.A.2

Given the function equation:

f(n) = 7n - 16

What is f(-10)?

• -86

• 86

• 54

• The term is not a valid input