Introduction to Arithmetic Sequences

What are the missing numbers? 
5, 7, ____, 11, 13, _____

• 9 and 17

• 8 and 14

• 9 and 15

• 6 and 12

Tags

CCSS.2.NBT.A.2

Define arithmetic sequences.

• A sequence whose terms change by adding the same number each time.

• A sequence whose terms change by multiplying the same number each time.

• A sequence whose terms change by dividing the same number each time.

• A list of numbers that often (but not always) form a pattern.

Tags

CCSS.HSF.BF.A.2

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

• a_n = 29-4(n-1)

• a_n = 4+25(n-1)

• a_n = 25-4(n-1)

• a_n = 4n + 25

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

What does a₁ represent?

• Any term

• First term

• Last term

Tags

CCSS.HSF.BF.A.2

Identify a₁

97, 86, 75, 64, ...

• 64

• 11

• -11

• 97

Tags

CCSS.HSF.BF.A.2

a3 =

• 14

• 2

• 3

• 8

Tags

CCSS.HSF.IF.A.2

Is this graph Arithmetic or Geometric?

• Arithmetic

• Geometric

Tags

CCSS.HSF.BF.A.2

This sequence is a(n)...

• Arithmetic Sequence with a common difference of 5

• Arithmetic Sequence with a common ratio of 5

• Geometric Sequence with a common difference of 5

• Geometric Sequence with a common ratio of 5

Tags

CCSS.HSF.BF.A.2

Given the sequence: 125, 25, 5, .... Write the explicit rule:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)⁽ⁿ⁾

• a_n = 125 + 5n

Tags

CCSS.HSF.BF.A.2