Geometric 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

Gave some feedback: Ready to use

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joshua boddy 9 years, 8 months ago

Created this as a copy of Geometric series 1.

Name	Status	Author	Last Modified
Geometric series 1	Ready to use	joshua boddy	01/06/2016 09:47
Geometric series 2	Ready to use	joshua boddy	01/06/2016 09:47
CF Maths In class test three mock paper question 3	Ready to use	Jinhua Mathias	28/08/2024 12:15
Geometric series 2	Ready to use	Jinhua Mathias	28/08/2024 12:15
Evan's copy of Geometric series 2	draft	Evan Weinberg	22/08/2016 14:43
Evan's copy of Evan's copy of Geometric series 2	draft	Evan Weinberg	24/08/2016 02:38
Geometric series 2	draft	Xiaodan Leng	11/07/2019 06:50
Geometric series 1	draft	Xiaodan Leng	11/07/2019 06:53

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Question statement

For the geometric series:

$\var{t1} - \simplify{{t1}/{td}} + \simplify{{t1}/{td}^2} - \simplify{{t1}/{td}^3} +...$

Give any introductory information the student needs.

			Name	Type	Generated Value

t1	integer	430
tr	integer	6
tsum	integer	12
td	integer	5

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
td*random(10..100)

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`

430

← Depends on:

→ Used by:

Statement
"Part a)" - Correct answer
"Part b)" - Correct answer
"Part c)" - Correct answer
"Part d)" - Correct answer

Advice

To find common ratio, simply divide one term by its predecessor.

To find the $n$ ^thterm, multiply the first term a by the common ratio r to the power of n-1, ie ${a}{r^{n-1}}$

Formula for the sum of the first $n$ terms is sum, from i = 1 to n, of a-sub-i is equal to (a) [ (1 - r^n) / (1 - r) ] where $r$ is the common ratio and $a$ is the first term

Formula for the infinite sum, providing $| r |<1$ , is C

Give a worked solution to the whole question.

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This question is used in the following exams:

Geometric sequence and series by Jinhua Mathias in Deactivated user's workspace.
Geometric Series by Gareth Woods in Gareth's workspace.
Week 16 e-quiz by Ruth Douglas in Ruth's workspace.

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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`

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

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Geometric 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

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `integer`