Question

PLEASE HELP!
WILL GIVE A FAN and MEDAL!!!!!!
Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Every day she ___________ her practice time by _________. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation.

Answer 1

Arithmetic Sequences add values.

@Chocolate1031

Answer 2

So you could say something like she practices for 10 minutes on Monday, she adds her practice time by 2.

Answer 3

Just keep adding 2 to 10 to get the 7th term.

Answer 4

10 is the first term.

10 + 2 = 12

12 is the second term.

12 + 2 = 14

14 is the third term.

Etc..

Answer 5

I know, I could have done that long time ago, though I need to write the arithmetic sequence notation.
So far I know arithmetic sequence notation would be:
\[a _{n}=a _{1}+d(n-1)\]

Answer 6

\[a _{1}\]is the first term of the sequence
\[a _{n}\]is the value of the nth term of the sequence
\[n\] is the number of terms in the sequence

Answer 7

Yes, that's correct.

Answer 8

I just don't know how to put it all in the format of the equation based on the problem

Answer 9

are you still there?

Answer 10

First blank would be y-intercept
Second blank would be type of slope like positive or negative
Third blank would be value of slope

Answer 11

Can you explain that in the equation format, please?

Answer 12

Okay, hold on.

Answer 13

I think this is the Sequence Notation:

\(S_n=S(r)^{n+1}\)

Answer 14

Are you sure?
I thought it was \[S _{n}=\frac{ a _{1}(r ^{n})-a _{1} }{ r-1 }\]

Answer 15

Agh..hold on.

Answer 16

Oh wait..that's for Geometric Sequences..my bad.

Answer 17

So what do I do now?

Answer 18

Yeah, this is it: \(a _{n}=a _{1}+d(n-1)\)

Answer 19

Where:

a1 = the first term of the sequence
an = the value of the nth term of the sequence
n = the number of terms in the sequence
r = the common ratio between the terms

Answer 20

So you have:

Day 7 = 10 + 2(7-1)

Answer 21

That's the Sequence Notation.

Answer 22

Sorry it took me a while to find it.

Answer 23

No problem, thank you so much! your like so much better than any teacher or lesson. :)
Hold on let me give you a fan and a medal

Answer 24

Lol, I hate learning from lessons too, It's better to learn from people.

Answer 25

ya I can't believe I am saying this, but I can't wait till school starts

Answer 26

Oh, and that Sequence notation is ONLY for:

For example, Jasmine practices the piano for \(\color{red}{TEN}\) minutes on Monday. Every day she \(\color{red}{INCREASES}\) her practice time by \(\color{red}{TWO}\). If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation.

Answer 27

I'm all-year round.

Answer 28

If you chose different values:

Day 7 = 10 + 2(7-1)
^ = First Blank

Day 7 = 10 + 2(7-1)
^ = Third Blank

Everything else stays the same.

Just make sure you say it increases(Second Blank).

Answer 29

yes I know that because I read it in the lesson, but thanks for reminding me!

Answer 30

No problem.

You're doing FLVS, right?

I remember doing this..

Answer 31

yes, I am taking algebra one honors

Answer 32

I finished that 2 or 3 months ago :D

Answer 33

Just tag me if you need any help.

Answer 34

k thx for ur help.