Solving for a geometric series (simple)

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Simon Thomas 6 years ago

Created this as a copy of Simon's copy of Solving for a geometric series #2.

Name	Status	Author	Last Modified
Solving for a geometric series	Ready to use	Frank Doheny	20/03/2018 08:27
Solving for a geometric series #2	Ready to use	Frank Doheny	20/03/2018 08:27
Andrew's copy of Solving for a geometric series	draft	Andrew Dunbar	30/06/2017 22:04
Simon's copy of Solving for a geometric series	draft	Simon Thomas	25/02/2019 11:28
Simon's copy of Solving for a geometric series #2	draft	Simon Thomas	25/02/2019 11:31
Solving for a geometric series (simple)	draft	Simon Thomas	25/02/2019 12:33
Solving for a geometric series	draft	Xiaodan Leng	11/07/2019 00:25
Solving for a geometric series #2	draft	Xiaodan Leng	11/07/2019 00:25

There are 3 other versions that do you not have access to.

Question statement

The first term of a geometric series is $\var{a1}$ and the sum to infinity of the series is $\var{s2}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

n	integer	7
a1	number	8.5
s2	number	17.4
r	number	0.5114942529
a		Definition of variable `a` is empty.

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

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

Gap-fill
1. Gap Number entry
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Gap-fill

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

Determine the value of the common ratio. $r$ = Unnamed gap

Advice

$S_{\infty}=\frac{a}{1-r}=\var{s2}$

Rearranging gives:

$r=1-\frac{a}{S_{\infty}}=1-\frac{\var{a}}{\var{s2}}=\var{precround(r,3)}$

Give a worked solution to the whole question.

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

This question is used in the following exam:

Arithmetic and Geometric Series by Simon Thomas in Maths support.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Simon Thomas 6 years ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Solving for a geometric series (simple)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 6 years ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`