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Hannah Aldous

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Compute the partial sum of an arithmetic sequence by Hannah Aldous

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Transition to university

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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	said	Has some problems	7 years, 4 months ago
Hannah Aldous	said	Needs to be tested	7 years, 4 months ago

History

○

Christian Lawson-Perfect 7 years, 3 months ago

Gave some feedback: Ready to use

○

Christian Lawson-Perfect 7 years, 3 months ago

Saved a checkpoint:

Lots of little edits - I basically disagreed with every formatting choice you made!

This is a good question.

Restore this checkpoint

○

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

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, 4 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, 4 months ago

Published this.

○

Elliott Fletcher 7 years, 4 months ago

Gave some feedback: Needs to be tested

○

Elliott Fletcher commented 7 years, 4 months ago

Is inflation the right term that we need or should it be interest?

○

Chris Graham commented 7 years, 4 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, 4 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, 4 months ago

Gave some feedback: Has some problems

○

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 Compute the partial sum of an arithmetic sequence.

Name	Status	Author	Last Modified
Arithmetic sequences in an ice cream shop	Ready to use	Hannah Aldous	20/11/2019 14:36
Compute the partial sum of an arithmetic sequence	Ready to use	Hannah Aldous	20/11/2019 14:36
Finding the $n^{\text{th}}$ Term of a Quadratic Sequence	Ready to use	Hannah Aldous	20/11/2019 14:39
Identifying different types of sequences	Should not be used	Hannah Aldous	01/12/2020 16:24
Finding the formula for the $n^{\text{th}}$ term of linear sequences	Ready to use	Hannah Aldous	20/11/2019 14:39
Partial sum of an arithmetic sequence - birthday money	Ready to use	Hannah Aldous	20/11/2019 14:41
Find common difference in arithmetic sequences with gaps	Ready to use	Christian Lawson-Perfect	20/11/2019 14:39
Fill in the gaps in an arithmetic sequence	Ready to use	Christian Lawson-Perfect	20/11/2019 14:39
Write down and apply the formula for an arithmetic sequence.	Ready to use	Christian Lawson-Perfect	20/11/2019 14:46
Finding the Formula for the $n^{\text{th}}$ Term of Linear Sequences	draft	Chris Graham	20/07/2017 15:08
Inbbavathie's copy of Find common difference in arithmetic sequences with gaps	draft	Inbbavathie Ravi	24/07/2017 03:48
Find a particular term of a sequence using the given formula	Ready to use	Christian Lawson-Perfect	20/11/2019 14:38
Johan's copy of Write down and apply the formula for an arithmetic sequence.	Has some problems	Johan Maertens	02/08/2017 17:51
Identifying different types of sequences	draft	Luis Hernandez	31/12/2018 01:38
Calcular la suma parcial de una sucesión aritmética	Ready to use	Luis Hernandez	02/12/2020 15:42
Identificar diferentes tipos de sucesiones...	Ready to use	Luis Hernandez	02/11/2020 02:05
Suma parcial de una secuencia aritmética - Cumpleaños	Ready to use	Luis Hernandez	02/12/2020 15:42
Encontrar la diferencia común en una Secuencia Aritmética	Ready to use	Luis Hernandez	02/12/2020 15:42
Encontrar el término de una sucesión usando la fórmula dada...	Ready to use	Luis Hernandez	02/12/2020 15:42
Encontrar la fórmula para el término $n^{\text {th}}$ de una secuencia lineal	Ready to use	Luis Hernandez	02/12/2020 15:42
Simon's copy of Write down and apply the formula for an arithmetic sequence.	draft	Simon Thomas	25/02/2019 10:20
Simon's copy of Find common difference in arithmetic sequences with gaps	draft	Simon Thomas	25/02/2019 10:24
Simon's copy of Finding the formula for the $n^{\text{th}}$ term of linear sequences	draft	Simon Thomas	25/02/2019 10:30
Identifying different types of sequences	draft	Xiaodan Leng	10/07/2019 21:48
Write down and apply the formula for an arithmetic sequence.	draft	Xiaodan Leng	11/07/2019 01:48
Fill in the gaps in an arithmetic sequence	draft	Xiaodan Leng	11/07/2019 01:48
Find common difference in arithmetic sequences with gaps	draft	Xiaodan Leng	11/07/2019 01:49
Compute the partial sum of an arithmetic sequence	draft	Xiaodan Leng	11/07/2019 01:51
Partial sum of an arithmetic sequence - birthday money	draft	Xiaodan Leng	11/07/2019 01:54
Arithmetic sequences in an ice cream shop	draft	Xiaodan Leng	11/07/2019 01:55
Finding the formula for the $n^{\text{th}}$ term of linear sequences	draft	Xiaodan Leng	11/07/2019 01:55
Find a particular term of a sequence using the given formula	draft	Xiaodan Leng	11/07/2019 01:56
Finding the $n^{\text{th}}$ Term of a Quadratic Sequence	draft	Xiaodan Leng	11/07/2019 01:57
Ugur's copy of Write down and apply the formula for an arithmetic sequence.	Ready to use	Ugur Efem	12/01/2022 11:45

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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 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.
All the good stuff by Chris Templet in Chris's workspace.
Wenling's copy of Arithmetic sequences by Wenling Zhang in Wenling's workspace.

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Checkpoint description

Christian Lawson-Perfect 7 years, 3 months ago

Christian Lawson-Perfect 7 years, 3 months ago

Elliott Fletcher 7 years, 4 months ago

Chris Graham 7 years, 4 months ago

Chris Graham commented 7 years, 4 months ago

Chris Graham commented 7 years, 4 months ago

Elliott Fletcher 7 years, 4 months ago

Elliott Fletcher 7 years, 4 months ago

Elliott Fletcher commented 7 years, 4 months ago

Chris Graham commented 7 years, 4 months ago

Chris Graham commented 7 years, 4 months ago

Chris Graham 7 years, 4 months ago

Hannah Aldous 7 years, 4 months ago

Hannah Aldous 7 years, 4 months ago

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