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From users who are members of Transition to university :
|Christian Lawson-Perfect||said||Ready to use||4 years ago|
|Elliott Fletcher||said||Needs to be tested||4 years ago|
|Chris Graham||said||Has some problems||4 years ago|
|Hannah Aldous||said||Needs to be tested||4 years ago|
Chris Graham 4 years 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 4 years 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 4 years 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.
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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.
- Arithmetic sequences by Simon Thomas in Maths support.
- Sharika's copy of Numerical reasoning - money (printed worksheet) by Sharika Mesba in Sharika's workspace.
- MAURICE by Sharika Mesba in Sharika's workspace.
- Arithmetic Quiz by Chetna Patel in Chetna's workspace.
- Jean jinhua's copy of Arithmetic sequences by Jean jinhua Mathias in Maths 3-2020.
- Types of sequences and arithmetic sequences by Jean jinhua Mathias in Maths 3-2020.