Computing terms in a recurrence relation 6

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Marie Nicholson

History

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Marie Nicholson 6 years, 2 months ago

Published this.

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Marie Nicholson 6 years, 2 months ago

Created this as a copy of Computing terms in a recurrence relation 5.

Name	Status	Author	Last Modified
Computing terms in a recurrence relation 2	draft	Marie Nicholson	04/02/2021 15:17
Computing terms in a recurrence relation 3	draft	Marie Nicholson	04/02/2021 15:17
Computing terms in a recurrence relation 1	draft	Marie Nicholson	04/02/2021 15:17
Computing terms in a recurrence relation 4	draft	Marie Nicholson	04/02/2021 15:17
Computing terms in a recurrence relation 5	draft	Marie Nicholson	12/02/2021 11:19
Computing terms in a recurrence relation 6	draft	Marie Nicholson	12/02/2021 11:25
Quiz - Computing terms Q2	draft	Marie Nicholson	04/02/2021 15:18
Quiz - Computing terms Q1	draft	Marie Nicholson	04/02/2021 15:18

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Question statement

Consider the following recurrence relation:

$P(n)=\begin{cases}\var{a} & if & n=1\\ P(n-1) + n & if & n \geq 2\\ \end{cases}$

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	5
b	integer	1
c	integer	3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(0..5)

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`

→ Used by:

Statement
"Unnamed part" → "Gap 0." - Correct answer
"Unnamed part" → "Gap 1." - Correct answer
"Unnamed part" → "Gap 2." - Correct answer
"Unnamed part" → "Gap 3." - Correct answer
"Unnamed part" → "Gap 4." - Correct answer
"Unnamed part" → "Gap 5." - Correct answer
"Unnamed part" → "Gap 6." - Correct answer
"Unnamed part" → "Gap 7." - Correct answer

Parts

Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add
3. Gap Gap 2. Mathematical expression
  Add
4. Gap Gap 3. Mathematical expression
  Add
5. Gap Gap 4. Mathematical expression
  Add
6. Gap Gap 5. Mathematical expression
  Add
7. Gap Gap 6. Mathematical expression
  Add
8. Gap Gap 7. Mathematical expression
  Add

Gap-fill

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

Compute the first eight terms of this recurrence relation.

P(1) = Gap 0.

P(2) = Gap 1.

P(3) = Gap 2.

P(4) = Gap 3.

P(5) = Gap 4.

P(6) = Gap 5.

P(7) = Gap 6.

P(8) = Gap 7.

Advice

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exam:

Computing terms in a recurrence relation by Marie Nicholson in Marie's recurrence relations workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Marie Nicholson 6 years, 2 months ago

Marie Nicholson 6 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Computing terms in a recurrence relation 6

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Marie Nicholson 6 years, 2 months ago

Marie Nicholson 6 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`