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From users who are members of Transition to university :
Christian Lawson-Perfect | said | Ready to use | 7 years, 2 months ago |
Elliott Fletcher | said | Needs to be tested | 7 years, 2 months ago |
Chris Graham | said | Has some problems | 7 years, 2 months ago |
Hannah Aldous | said | Needs to be tested | 7 years, 2 months ago |
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Christian Lawson-Perfect 7 years, 2 months ago
Gave some feedback: Ready to use
Christian Lawson-Perfect 7 years, 2 months ago
Saved a checkpoint:
Lots of little edits - I basically disagreed with every formatting choice you made!
This is a good question.
Elliott Fletcher 7 years, 2 months ago
Gave some feedback: Needs to be tested
Chris Graham 7 years, 2 months ago
Gave some feedback: Has some problems
Chris Graham commented 7 years, 2 months ago
Ok, so we'e basically torn up and re-written the original question... This looks good, however as for previous questions on arithmetic series, can we have a table of the values and differences in the advice to part (a) please.
I would change "by his" in the statement to "after his", as it implies the amount before he receives money on his birthday. I know that you state that it includes the amount after, but this appears contradictory.
I'm not keen on $n$ being "the amount of numbers in a sequence". So if you have 10 terms in the sequence but you're calculating the $a_5$ term, do you still use $n=10$? "Term number" is terminology that is often used.
Chris Graham commented 7 years, 2 months ago
Sorry, you are quite right, I meant to say interest! If you are wording the question in a way that it is "What contribution...?" then you don't really need this anyway, so I have removed those references.
Elliott Fletcher 7 years, 2 months ago
Published this.Elliott Fletcher 7 years, 2 months ago
Gave some feedback: Needs to be tested
Elliott Fletcher commented 7 years, 2 months ago
Is inflation the right term that we need or should it be interest?
Chris Graham commented 7 years, 2 months ago
As discussed, the sum of candles on a birthday cake over several years makes little sense either. Why would you want to know?
Parents adding money to a bank account is much better, and then you could ask (excluding inflation) how much money the parents have added over $n$ years.
This can also be split into two parts, firstly calculate $a_n$ for the given $n$, and then the sum of the series, with a step for each part.
Chris Graham commented 7 years, 2 months ago
The step doesn't give enough useful information, and neither does it give the opportunity for the student to break down the question: so the first step would be to find $a_n$, but the step doesn't tell me how to do that. There's an easy opportunity to have gaps here for the common difference, the final term, and so on.
I also have major issues with the context. I'm led to believe Bruce receives 93 slices of his birthday cake on his 50th birthday. How big are these slices? I can only assume that they are getting smaller at a rate inversely proportional to the increase in slices. How about changing to the number of candles? 93 candles on a cake is still a stretch, but slightly more plausible.
Chris Graham 7 years, 2 months ago
Gave some feedback: Has some problems
Hannah Aldous 7 years, 2 months ago
Gave some feedback: Needs to be tested
Hannah Aldous 7 years, 2 months ago
Created this as a copy of Compute the partial sum of an arithmetic 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.
- Money by Christian Lawson-Perfect in Transition to university.
- Questions using the random person extension by Christian Lawson-Perfect in Christian's workspace.
- P12 - Series & Sequences by Rob Beckett in Rob's workspace.
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- MAURICE by Sharika Mesba in Sharika's workspace.
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- Jean jinhua's copy of Arithmetic sequences by Jinhua Mathias in Maths 3-2020.
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- 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.
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- Wenling's copy of Arithmetic sequences by Wenling Zhang in Wenling's workspace.