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Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.
CC By Newcastle University
Metadata
True/false statements about convergent and divergent series,
by 
Newcastle University Mathematics and Statistics
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Mark Hodds 8 years, 6 months ago
Created this as a copy of True/false statements about convergent and divergent series, .| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| True/false statements about convergent and divergent series, | draft | Newcastle University Mathematics and Statistics | 20/11/2019 14:51 | |
| True/false statements about convergent and divergent series | draft | Alvaro Martínez | 17/06/2016 21:04 | |
| Sequences 4 | draft | Mark Hodds | 06/11/2016 20:44 | |
| Ben's copy of True/false statements about convergent and divergent series, | draft | Ben Brawn | 13/10/2017 02:49 | |
| Ugur's copy of True/false statements about convergent and divergent series, | Ready to use | Ugur Efem | 01/11/2023 13:44 |
There are 3 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| f1 | string |
<p>If $a_n \geq \dfrac{1}{n^2}
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| f2 | string |
<p><span>If $a_n \geq 0$ for a
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| f3 | string |
<p><span>If $a_n \to 0$
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| f4 | string |
<p><span>If the series $\Sigma
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| f5 | string |
<p><span>If $a_n > 0$
|
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| f6 | string |
<p><span>If $a_n>0$ for all
|
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| f7 | string |
<p><span>If $a_n > 0$
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| f8 | string |
<p><span>If $a_n \neq 0$ for a
|
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| f9 | string |
<p><span>If $\Sigma a_n$ is co
|
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| f10 | string |
<p><span>If $\Sigma a_n$ is no
|
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| f11 | string |
<p>If $a_n = (-1)^{n-1} u_n$ w
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| f12 | string |
<p><span>If $a_n = (-1)^{n-1}
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| f13 | string |
<p><span>If a power series $\S
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| f14 | string |
<p><span>If a power series $\S
|
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| f15 | string |
<p>If a power series $\Sigma a
|
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| f16 | string |
<p><span>If a power series $\S
|
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| tr1 | string |
<p><span>If $a_n \geq 0$ for a
|
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| tr2 | string |
<p><span>If $a_n \geq \dfrac{1
|
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| tr3 | string |
<p>If $a_n \not\to 0$ as $n \t
|
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| tr4 | string |
<p><span>If <span>the series <
|
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| tr5 | string |
<p><span>If $a_n > 0$
|
||||
| tr6 | string |
<p><span>If $a_n>0$</span><
|
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| tr7 | string |
<p><span>If $a_n \neq 0$</span
|
||||
| tr8 | string |
<p><span>If $a_n \neq 0$</span
|
||||
| tr9 | string |
<p>If $\Sigma a_n$ is absolute
|
||||
| tr10 | string |
<p><span>If $\Sigma a_n$ is di
|
||||
| tr11 | string |
<p><span>If $a_n = (-1)^{n-1}
|
||||
| tr12 | string |
<p><span>If $a_n = (-1)^{n-1}
|
||||
| tr13 | string |
<p>If a power series $\Sigma a
|
||||
| tr14 | string |
<p><span>If a power series $\S
|
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| tr15 | string |
<p><span>If a power series $\S
|
||||
| tr16 | string |
<p><span>If a power series $\S
|
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| t | integer |
3
|
||||
| u | integer |
3
|
||||
| v | integer |
4
|
||||
| w | integer |
2
|
||||
| f | integer |
3
|
||||
| g | integer |
3
|
||||
| h | integer |
3
|
||||
| x | integer |
1
|
||||
| ch1 | string |
<p>If $a_n \not\to 0$ as $n \t
|
||||
| ch2 | string |
<p><span>If $a_n \neq 0$</span
|
||||
| ch3 | string |
<p><span>If $a_n = (-1)^{n-1}
|
||||
| ch4 | string |
<p><span>If a power series $\S
|
||||
| ch5 | string |
<p><span>If $a_n \to 0$
|
||||
| ch6 | string |
<p><span>If $a_n > 0$
|
||||
| ch7 | string |
<p>If $a_n = (-1)^{n-1} u_n$ w
|
||||
| ch8 | string |
<p><span>If a power series $\S
|
||||
| f20 | string |
It is not possible for an unbo
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| tr20 | string |
<p><span>If $\Sigma a_n$ is di
|
Generated value: string
<p>If $a_n \geq \dfrac{1}{n^2}$ for all $n \in \mathbb{N}$, then $\Sigma a_n$ converges.</p>
This variable doesn't seem to be used anywhere.
Use this tab to check that this question works as expected.
| Part | Test | Passed? |
|---|---|---|
| Gap-fill | ||
| Hasn't run yet | ||
| Match choices with answers | ||
| Hasn't run yet |
This question is used in the following exam: