arithmetic sequences

Is the sequence arithmetic: -3, 3, -3, 3, ... (remember- this means the pattern is a constant + or - pattern)

• Yes

• No

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes
• No

Tags

CCSS.HSF.BF.A.2

Find the common difference: -34, -29, -24, -19, ... ( remember, this is just the pattern of the numbers ---and it is your slope (m))

• d = -5

• d = 5

• d = -6

• d = 6

Find the common difference: 29, 21, 13, 5, ...

• d = -10
• d = -9
• d = -8
• d = -7

Tags

CCSS.HSF.BF.A.2

Find the common difference: -18, -23, -28, -33, ...

• d = -5
• d = 5
• d = -3
• d = 3

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81
• 79, 88, 97
• 70, 79, 88
• 61, 70, 79

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:

2, 8, 14, ...

(Hint: remember you need your common difference (m) and your zero term - go backwards one spot (b) (what number is before the 2) and then yo u have your formula y=mx+b or f(x) = mx+b

• f(x)=6x+2

• f(x)=6x-6

• f(x)=6x-4

• f(x)=4-6x

Write the explicit rule for the arithmetic sequence

9, 13, 17, 21, ...

• f(x)=-4x + 5

• f(x) = -9x + 14

• f(x) = 9x - 5

• f(x) = 4x + 5

Given the sequence:

25, 21, 17, 13,...

Find your equation by finding your m and your b --remember m is common difference and b is your zero term (work backwards- what is the number before the 25)

• f(x) = 4x + 29

• f(x) = -4x + 25

• f(x)= -4x + 29

• f(x)= 4x + 25

Find the 32nd term of this sequence.

34, 37, 40, 43, ...

Hint: you need f(x) = mx + b and you are substituting the 32 for your x and evaluating!

• 32

• 64

• 127

• 356