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.

I need help learning how to solve this problem I don't get it just step by step on how

Question

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.

I need help learning how to solve this problem I don't get it just step by step on how

anonymous · Answer

The first thing you have to do is pick numbers for the blanks.

anonymous · Answer

@peachpi do I just pick any numbers

anonymous · Answer

yes and for the 2nd blank decide whether you want it to increase or decrease

anonymous · Answer

Ok so if I say she practices piano for 10 on Monday and increases by 5 min everyday

anonymous · Answer

ok. so now you can write the formula for the sequence.
$$a_n=a_1+d(n-1)$$
$a_1$=10 because that was how much she practiced on the first day
d = 5 because that's how much it increases each day.
Plug them in to get the formula for you specific numbers

anonymous · Answer

did you get a formula?

anonymous · Answer

No how do I plug it in

anonymous · Answer

Oh never mind I see I'll write it down

anonymous · Answer

So an stays blank

anonymous · Answer

right. both  an & n don't change for this step

anonymous · Answer

Ok I got an=15+5n

anonymous · Answer

So or idk how to write the a and the n the way u did my bad

anonymous · Answer

an = a1 + d(n-1)
an = 10 + 5(n - 1)
an = 10 + 5n - 5
an = 5n + 5
I think you may have added wrong somewhere

anonymous · Answer

Now for the last step you plug in 7 for n to find $a_7$.
$$a_7=5(7)+5$$

anonymous · Answer

I added the 5 to the 10

anonymous · Answer

ok. That was it. It was supposed to be -5 added to the 10

anonymous · Answer

So would it be 15 + 5n or no

anonymous · Answer

It's 5 + 5n

anonymous · Answer

Ok I got a7=40

anonymous · Answer

that's right :)

anonymous · Answer

Wait so that's it

anonymous · Answer

yes

anonymous · Answer

Omg thank you so much could you help me with another if you can it's the same but with a geometric sequence

anonymous · Answer

yeah. just post another question and tag me