Understanding $\sum$ notation - fixed sum - Numbas at mathcentre.ac.uk

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Xiaodan Leng 5 years, 10 months ago

Created this as a copy of Understanding

Name	Status	Author	Last Modified
Understanding $\sum$ notation	Ready to use	joshua boddy	01/06/2016 09:47
Understanding $\sum$ notation - fixed sum	Ready to use	joshua boddy	01/06/2016 09:47
Understanding $\sum$ notation	draft	Xiaodan Leng	11/07/2019 06:29
Understanding $\sum$ notation - fixed sum	draft	Xiaodan Leng	11/07/2019 06:29

Question statement

Evaluate each of these

Give any introductory information the student needs.

			Name	Type	Generated Value

upsum0	integer	6
coeff	list	[ 8, 3, 6, 2, 9, 7, 4, 5 ]
pow	list	[ 4, 3, 2 ]
low	list	[ 2, 4, 3 ]
upsum1	integer	4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
6

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add
3. Gap Gap 2. Mathematical expression
  Add
4. Gap Gap 3. Mathematical expression
  Add
5. Gap Gap 4. Mathematical expression
  Add
6. Gap Gap 5. Mathematical expression
  Add
7. Gap Gap 6. Mathematical expression
  Add
Part b) Gap-fill

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$\sum\limits_{n=1}^\var{upsum0} \var{coeff[0]}n =$ Gap 0. $+$ Gap 1. $+$ Gap 2. $+$ Gap 3. $+$ Gap 4. $+$ Gap 5. $=$ Gap 6.

Advice

a) $(1/2)*\var{upsum0}*\var{coeff[0]}*(1+\var{upsum0})$ , here we used that the sum of the first $n$ terms in an arithmetic sequence is $\frac{n(a+l)}{2}$ where $a$ is the first term and $l$ is the $n$ ^th term.

Give a worked solution to the whole question.

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Understanding $\sum$ notation - fixed sum

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Understanding ∑\sum notation - fixed sum

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Understanding $\sum$ notation - fixed sum

Generated value: `integer`