Geometric progression: The nth term of a series

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Xiaodan Leng 5 years, 8 months ago

Created this as a copy of Geometric progression: The nth term of a series.

Name	Status	Author	Last Modified
Arithmetic progression: The nth term of a series	Ready to use	Frank Doheny	20/03/2018 12:44
Arithmetic progression: The sum of the first n terms of a series	Ready to use	Frank Doheny	20/03/2018 12:44
Geometric progression: The nth term of a series	Ready to use	Frank Doheny	20/03/2018 08:28
Geometric progression: The sum of the first n terms of a geometric progression	Ready to use	Frank Doheny	20/03/2018 08:27
Andrew's copy of Arithmetic progression: The nth term of a series	draft	Andrew Dunbar	30/06/2017 22:04
Andrew's copy of Arithmetic progression: The sum of the first n terms of a series	draft	Andrew Dunbar	30/06/2017 22:04
Andrew's copy of Geometric progression: The nth term of a series	draft	Andrew Dunbar	30/06/2017 22:04
Simon's copy of Arithmetic progression: The nth term of a series	draft	Simon Thomas	25/02/2019 10:34
Simon's copy of Arithmetic progression: The sum of the first n terms of a series	draft	Simon Thomas	25/02/2019 10:36
Simon's copy of Geometric progression: The nth term of a series	draft	Simon Thomas	25/02/2019 10:55
Simon's copy of Geometric progression: The sum of the first n terms of a geometric progression	draft	Simon Thomas	25/02/2019 10:59
Geometric progression: The sum to infinity	draft	Simon Thomas	25/02/2019 11:23
Arithmetic progression: The nth term of a series	draft	Xiaodan Leng	10/07/2019 23:16
Arithmetic progression: The nth term of a series	draft	Xiaodan Leng	11/07/2019 00:22
Arithmetic progression: The sum of the first n terms of a series	draft	Xiaodan Leng	11/07/2019 00:23
Geometric progression: The nth term of a series	draft	Xiaodan Leng	11/07/2019 00:24
Geometric progression: The sum of the first n terms of a geometric progression	draft	Xiaodan Leng	11/07/2019 00:24

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Question statement

The first three terms of a series are given by:

$\var{a} + \simplify{{a}*{r}} + \simplify{{a}*{r}^2}\,+ \, ...........$

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	9
r	number	1.8
n	integer	12

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Name

Data type

Value

A random number between and (inclusive) with step size

Description

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Generated value: `integer`

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Parts

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

Calculate the $\var{n}th$ term of the series.

$T_\var{n}=$ Unnamed gap

Advice

If the ratio between successive pairs of terms is a constant then the series under examination is a geometric progression.

Ths first term is $a$ and the common ratio is $r$ .

The formula for the nth term of the series is given by: $T_n=ar^{n-1}$

In this example $a=\var{a}$ , $r = \frac{\simplify{{a}*{r}}}{\var{a}}=\var{r}$ and $n = \var{n}$

$T_\var{n}=\var{a}*\var{r}^{\simplify{{n}-1}}$

$T_\var{n}=\var{a}*\simplify{{r}^{{n}-1}}$

$T_\var{n}=\simplify{{a}*{r}^{{n}-1}}$

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Geometric progression: The nth term of a series

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Taxonomy: mathcentre

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Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Geometric progression: The nth term of a series

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`