Arithmetic Series 2

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joshua boddy

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Ready to use

9 years, 7 months ago

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joshua boddy 9 years, 7 months ago

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joshua boddy 9 years, 8 months ago

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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

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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	2
d	integer	-9
n1	integer	7
t1	integer	-52
n2	integer	17
t2	integer	-142

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Value

xxxxxxxxxx
 
random(2..9)

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Description

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

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Generated value: `integer`

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This variable doesn't seem to be used anywhere.

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 $a_1 = \var{a}$

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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 used in the following exams:

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

joshua boddy 9 years, 7 months ago

joshua boddy 9 years, 8 months ago

Error in variable testing condition

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Generated value: `integer`

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Gap-fill

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Arithmetic Series 2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

joshua boddy 9 years, 7 months ago

joshua boddy 9 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`