Sequences

256, 128, 64, 32, ...

What's next?

• 24

• 18

• 16

• 8

Tags

CCSS.HSF.BF.A.2

In arithmetic sequences, you ______________ between the numbers.

• Add/Subtract

• Multiply/Divide

To find the next term in an arithmetic sequence…

• add/subtract the common difference d

• multiply/divide by the common ratio r

What does a₁ represent?

• Any term

• First term

• Last term

Tags

CCSS.HSF.BF.A.2

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

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

Tags

CCSS.HSF.BF.A.2

A sequence can be generated by using a_n = a_(n-1) +9 where a₁ = 4 and n is a whole number greater than 1.

What is the first term in the sequence?

• 9

• 4

A sequence can be generated by using a_n = a_(n-1) +9 where a₁ = 4 and n is a whole number greater than 1.

Which term describes this sequence?

• arithmetic

• geometric

• neither of these

A sequence can be generated by using a_n = a_(n-1) +9 where a₁ = 4 and n is a whole number greater than 1.

What is the common difference (d) in the sequence?

• 9

• 4

Write an Arithmetic Explicit Formula for the sequence

17, 1, -15, -31 . . .

• a_n = 17 + 16(n-1)

• a_n = -16 - 17(n-1)

• a_n = -16 + 17(n-1)

• a_n = 17 - 16(n-1)

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2