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From users who are members of Transition to university :
Christian Lawson-Perfect
|
said | Ready to use | 7 years, 3 months ago |
| Elliott Fletcher | said | Needs to be tested | 7 years, 4 months ago |
Chris Graham
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said | Has some problems | 7 years, 4 months ago |
Bradley Bush
|
said | Needs to be tested | 7 years, 4 months ago |
| Hannah Aldous | said | Needs to be tested | 7 years, 4 months ago |
| Vicky Hall | said | Has some problems | 7 years, 4 months ago |
History
Christian Lawson-Perfect 7 years, 3 months ago
Gave some feedback: Ready to use
Elliott Fletcher 7 years, 4 months ago
Published this.Elliott Fletcher 7 years, 4 months ago
Gave some feedback: Needs to be tested
Chris Graham 7 years, 4 months ago
Gave some feedback: Has some problems
Chris Graham commented 7 years, 4 months ago
Same issue here with "The amount of numbers in a sequence". Can you re-write anywhere else that we have this phrase please?
Elliott Fletcher commented 7 years, 4 months ago
I've added steps to both parts
Elliott Fletcher 7 years, 4 months ago
Gave some feedback: Needs to be tested
Chris Graham commented 7 years, 4 months ago
Elliott, can you add a step to both parts please, giving the formula and asking the student to identify $a_1$ and $d$
Chris Graham 7 years, 4 months ago
Gave some feedback: Has some problems
Bradley Bush 7 years, 4 months ago
Gave some feedback: Needs to be tested
Bradley Bush commented 7 years, 4 months ago
Thank you for the feedback Christian,
- There was a slight error with the gap fills so I fixed that
- There was another error with the answer marking, so that's fixed too
- I've adjusted the advice as you recommended to include a table, but I've also left Hannah'smethod as an alternative, I'm not sure whether yu wanted it completely replaced or no so I've left it in.
Christian Lawson-Perfect 7 years, 4 months ago
Gave some feedback: Has some problems
Christian Lawson-Perfect 7 years, 4 months ago
Saved a checkpoint:
I've split this into two parts - why make up your own part headers when Numbas can do it for you? It's important to let the student submit their answer to one part before moving on to another.
This question could very easily have steps - identify the first term, identify the common difference, and then you can write down the formula.
I've added a sentence to the top of the advice describing what needs to be done. A "plan of action" like this makes it easier to follow the more detailed parts of the solution.
I'd work this out by drawing up a table:
$n$ 1 2 3 $a_n$ 18 27 36 First differences 9 9 The formula is $a_n = a_1 + (n-1)d$. I can read off from the table that $a_1 = 18$ and $d = 9$.
There's a reason you're taught to do this stuff using tables at school - visually, you can see how $n$, $a_n$, and the common difference relate to each other as the sequence progresses. Without this, it can all seem like aimlessly shuffling numbers about.
Hannah Aldous 7 years, 4 months ago
Gave some feedback: Needs to be tested
Elliott Fletcher 7 years, 4 months ago
Gave some feedback: Has some problems
Elliott Fletcher commented 7 years, 4 months ago
Main Parts
I think you should label each of the questions i) and ii) as you have done in the advice section
I think the expected answer in both of these questions is wrong, the answer that you have in the advice section is right, i think its just that you calculated the adding term using n=0 for the displayed answer.
Advice
i) where you have written nth term here it doesn't really display correctly, it looks like n^(t)h instead of n^th.
I think you should say "Our nth term will take the form 8n+b, where b is some constant"
ii) i think "them" should be "it"
I think you should say "Our nth term will take the form 5n+c, where c is some constant"
I think you use the wrong number when you say how much the original sequence is greater than the sequence for 5n by.
Vicky Hall 7 years, 4 months ago
Gave some feedback: Has some problems
Vicky Hall commented 7 years, 4 months ago
Change the question to 'find the formula for the $n$th term'. It would be good to have one increasing and one decrasing sequence to show that sometimes the $n$ coefficient is negative.
Hannah Aldous 7 years, 4 months ago
Gave some feedback: Needs to be tested
Hannah Aldous 7 years, 4 months ago
Created this as a copy of Finding the $n^{\text{th}}$ Term of a Quadratic Sequence.There are 43 other versions that do you not have access to.
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This question is used in the following exams:
- Sequences by Elliott Fletcher in Elliott's workspace.
- Arithmetic sequences by Christian Lawson-Perfect in Transition to university.
- Week 4 Homework by Deirdre Casey in IFY DIFC.
- Arithmetic sequences by steve kilgallon in Graphs and series.
- P12 - Series & Sequences by Rob Beckett in Rob's workspace.
- Arithmetic sequences by Simon Thomas in Maths support.
- Jean jinhua's copy of Arithmetic sequences by Jinhua Mathias in Maths 3-2020.
- Types of sequences and arithmetic sequences by Jinhua Mathias in Maths 3-2020.
- Arithmetic sequences and series by Mike Phipps in Intro Maths.
- Transition Frequencies by Chris Templet in Chris's workspace.
- claire's copy of Arithmetic sequences by claire lines in claire's workspace.
- Wenling's copy of Arithmetic sequences by Wenling Zhang in Wenling's workspace.