Arithmetic Sequences

Arithmetic Sequences

Multiple Choice

Is this an arithmetic sequence?

1, 5, 9, 13, ...

• yes

• no

Open Ended

What is the common difference of this arithmetic sequence:

1, 5, 9, 13, ...

Multiple Choice

Is this an arithmetic sequence?

1, 3, 6, 10, ...

• yes

• no

Multiple Choice

Is this an arithmetic sequence?

6, 2, -2, -6, ...

• yes

• no

Open Ended

What is the common difference of this arithmetic sequence:

6, 2, -2, -6, ...

Multiple Choice

Is this an arithmetic sequence?

-2, 4, -8, 16

• yes

• no

Open Ended

What are the next 2 terms of this arithmetic sequence:

12, 9, 6, 3, ...

Open Ended

What are the next 2 terms of this arithmetic sequence:

-2, 2, 6, 10, ...

Finding the next terms is pretty easy, but what if I asked you to find the 54th term?

Or the 372nd term?

Never fear, I have a way for you to find ANY term :)

Multiple Choice

 The formula for finding the $n^{th}$   term of the arithmetic sequence:

15, 13, 11, 9 ...

* what is the first term?
* what is the common difference?

•  $15+\left(n-1\right)\left(2\right)$  

•  $9+\left(n-1\right)\left(2\right)$  

•  $15+\left(n-1\right)\left(-2\right)$   

Fill in the Blanks

Find 141st term of the arithmetic sequence: 15, 13, 11, 9...

1) Use the formula  $a_n=a_1+\left(n-1\right)\left(d\right)$ 

2. Replace  $n$  with the term you are looking for ( $141$   )

3. Replace  $a_1$  with the first tern in the arithmetic sequence ( $15$  ) 

4. Say to yourself, this is why I was told to have a calculator ;)

5. The 141st term of the arithmetic sequence is

Your practice is Deltamath. 

You need to get 10 problems correct
 (finding the $n^{th}$ term)

If you need some more instruction, WATCH THE DELTAMATH VIDEO :)
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