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JozelynW
 one year ago
I need help............ I don't know how to convert f(n)=f(n1)+d into the sequence notation a(subscript) n=a+d(n1)
JozelynW
 one year ago
I need help............ I don't know how to convert f(n)=f(n1)+d into the sequence notation a(subscript) n=a+d(n1)

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1is that all it says? or is there more that's given?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0No it says "Use your scenario to write the function for the 7th term in your sequence using sequence notation".

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0this is what i filled in Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for 20 minutes on Monday. Every day she increases her practice time by 4 . 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.

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.020 mins , increases , time by 4 that's what i added

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so they want you to make up a sequence of your own? or can we use this example?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0they wanted me to make up my own based upon what i filled in and the formula above with the a

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1ok what sequence did you make up on your own?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0a(subscript) n=a+d(n1)

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0that is what help on filling in on this equation. In the f(n) version it made up one which is f(7)=f(61)+4

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0when i fill in the sequence equation it looks like this a(subscript)7=a+4(71)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it says `Jasmine practices the piano for 20 minutes on Monday` so the first term of this sequence is 20 making a = 20

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the next day, tuesday, would be a+d = 20+4 = 24 min  wednesday would be 24+4 = 28 etc etc

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0so how would that be written

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1a = 20 and d = 4 they are plugged into `a+d(n1)` to get the general nth term

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so, a+d(n1) = 20+4(n1) = ???

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0thank you for you help.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1glad to be of help

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 need you help again with another 1

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0Use your scenario to write the formula for the 5th term in your sequence using sequence notation.

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0the equation for geometric sequence is an=a1•rn−1.

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0my info is Anthony goes to the gym for 45 minutes on Monday. Every day he increases his gym time by 5 minutes.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`Anthony goes to the gym for 45 minutes on Monday. Every day he increases his gym time by 5 minutes.` this is an ARITHMETIC sequence since the amount is increasing by a fixed amount. d = 5 is the amount going up each time

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if you said maybe something like "increases by 5%", then it would work

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0i see what you're saying , I knew something wasn't right. So change it to 5%

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the first term is a = 45 the common ratio is r = 0.05 (decimal form of 5%)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1no sorry, the common ratio would be 1.05 1+0.05 = 1.05

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0so it would be a5=45 x1.05(71)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1first term: 45 second term = (first term)*(common ratio) second term = (45)*(1.05) second term = 47.25 etc etc

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0change the 5% to 1.05%?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I added on 1 because increasing by 5% is the same as multiplying by 1.05

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the nth term should be \[\Large a(r)^{n1}\] then you plug in a = 45 and r = 1.05

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0i have to use that exact equation above \[a _{4=45x 1.05(4}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the exponent should be n1 = 41 so \[\LARGE a_4 = 45*(1.05)^{41}\]

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0well no, because i want to find the 5th term. I simplified it so I didn't put the 1 i just did it.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1oh, then you want to compute \(\LARGE a_5\) and not \(\LARGE a_4\)

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0they wanted me to find a5 the fifth term.

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0ok so the answer would be what i said rightttt

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes, it would be \[\LARGE a_5 = 45*(1.05)^{4}\]

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0Thank you, I may need help in like 3 mins again 1 more

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0a_(5=45 ×〖1.05〗^(51) ) @jim_thompson5910

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I think you meant to write \[\LARGE a_5 = 45 \times 1.05^{51}\] right?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0Yes, but i don't know how to make it look like that, how do you do that?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0the geometric series formula Sn= a1−a1rn 1−r

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you can use the equation editor (click the equation button below the text box) I typed in `\LARGE a_5 = 45 \times 1.05^{51}` surrounded by `\[` and `\]`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1as for the summation formula, it would be \[\Large S_n = a*\frac{1r^n}{1r}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1which is equivalent to the form you wrote

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0where the a is by itself it should be with the 1 at the top

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes the two are equivalent \[\Large S_n = a*\frac{1r^n}{1r} = \frac{aa*r^n}{1r}\]

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0I'm going to screenshot it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah which is what I wrote here \[\Large S_n = \frac{aa*r^n}{1r}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1there are 2 versions of the same thing really

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1they want you to add up a bunch of terms and use the Sn formula to do it quickly

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so for instance, add up the first 8 terms and compute S8

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0So I"m using what you are saying as a example, because Idon't want to seem as a cheater

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you can use another value of n

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0Oh it says use the same scenario

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so a = 45 and r = 1.05

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0right ,but i need to make a question now

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0Maybe I can say Anthony goes to the gym at 10 am for 45mins, then IDK what im doing

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so you have to make a completely different scenario?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0no just use the scenario from part 2 to make up a question

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0i just seen an example on my math lesson so here is something similar "find the sum of the first 5 terms of the geometric series

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0but I don't know what numbers are suppose to be in the geometric series here is the example

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1ok so you'll plug a = 45 and r = 1.05 into that Sn formula then you pick any n value you want (you picked n = 5 I think) and plug that in as well

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large S_n = \frac{aa*r^n}{1r}\] \[\Large S_5 = \frac{4545*1.05^5}{11.05}\] \[\Large S_5 = ???\]

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0is it like the example?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0ok than so what would be the geometric series than for the question?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm not sure what you're asking exactly?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0because i need to write a question; in the example question in the lesson it has something in the question that says geometric series look at the screenshot again

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0I think it means 3 numbers that have a common ratio of 5%

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you mean they want you to add up the first three terms of the geometric sequence?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0idk honestly. I'm just listening to you

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0does it look like what it mean in the picture

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0this is a project and it doesn't really explain much

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah I wish it had clearer instructions. I think they want you to add up a bunch of terms so say you wanted to add up the first 7 terms a = 45 r = 1.05 n = 7 \[\Large S_n = \frac{aa*r^n}{1r}\] \[\Large S_7 = \frac{4545*1.05^7}{11.05}\] \[\Large S_7 = \frac{4545*1.4071004}{11.05}\] \[\Large S_7 = \frac{4563.319518}{11.05}\] \[\Large S_7 = \frac{18.319518}{0.05}\] \[\Large S_7 = 366.39036\] The approximate sum of the first 7 terms is 366.39036

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0So the question would be "Find the sum of the first 7 terms

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes the work shown above would apply to that question

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0Thank you, your name should say lifesaver. You just helped me finish out my math class.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm glad I could be of help
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