Arithmetic Series 2

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Xiaodan Leng 5 years, 8 months ago

Created this as a copy of Arithmetic Series 2.

Name	Status	Author	Last Modified
Arithmetic Series 2	Ready to use	joshua boddy	01/06/2016 09:47
Arithmetic Series 3	Ready to use	joshua boddy	01/06/2016 09:47
Arithmetic Series 2	draft	Xiaodan Leng	11/07/2019 07:08
Arithmetic Series 3	draft	Xiaodan Leng	11/07/2019 07:09

There are 6 other versions that do you not have access to.

Question statement

In an arithmetic series, the $\var{n1}$ ^thterm is $\var{t1}$ and the $\var{n2}$ ^thterm is $\var{t2}$

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	9
d	integer	-6
n1	integer	19
t1	integer	-99
n2	integer	18
t2	integer	-93

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..9)

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`

→ Used by:

Advice
"Unnamed part" → "Gap 0." - Minimum accepted value
"Unnamed part" → "Gap 0." - Maximum accepted value

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

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

What is the first term and the common difference?

First term $=$ Gap 0.

Common difference $=$ Gap 1.

Advice

To find the common difference d we note that the $\var{n1}$ ^th term is $\var{t1}$ and the $\var{n2}$ ^thterm is $\var{t2}$ so we can find the common difference d by noting $\var{t2}-\var{t1}=(\var{n2}-\var{n1})\times d$ , hence common difference $= \var{d}$

It is then straightforward to find the first term $a_1$ by substituting the common difference back into either of our given terms. For example, we know $\var{t1} = a_1 + (\var{n1}-1)\times \var{d}$ , hence $a_1 = \var{a}$

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is not used in any exams.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Arithmetic Series 2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`