Download Sequences

Sequences, worksheet
names ______________________________________________________________
task 0 (preparation)
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Open sequences
Set start with (right below) on 1
You get the sequence 1,2,3,…. on the "strip" at the right
Drag this strip to the left most position of the "workspace"
Drag the multiplication-sign (an asterix) to the position right of the strip.
Change the big 5 on the right side to a 3.
Drag this 3 to the position right of the multiplication-sign.
You used the formula: result = number x 3
Click on calculate
Which integers do you get as results?
You made the sequence 3,6,9,12,…
task 1 [figures from the book]
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Make the sequence:
5, 8, 11, 14, …..
These are the numbers of blocks in figures 1, 2, 3, 4,..
 Wich formula did you use ?
How many blocks does number 13 contain?
Examine if there is a figure containg 100 blocks.
Clear the workspace.
task 2 [figures from the book]
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Make the sequence:
1, 3, 5, ….. (numbers of coins in figures 1, 2, 3, ….)
 How many coins contains figure number 41?
 Wich figure contains 133 coins?
task 3
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[figures from the book]
Make the sequence:
3, 5, 7, … (number of yellow blocks)
 Wich formula did you use?
Make the sequence
3, 4, 5, .. (number of red blocks)
Keep this sequence (Drag the strip to the right).
Make the sequence of the total numbers of blocks (yellow and red together)
 Wich formula did you use?
Make the sequence
3,5,7, .. (number of yellow blocks),
using the sequence 3, 4, 5, … (number of redblock) as input.
 Wich formula did you use?
continued
Sequences, worksheet
workshop at PSI, Friday July 20, 2001
WisWeb-project
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task 4 [figures from the book]
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Make the sequence
6, 9, 12,… (numbers of matchsticks)
 Wich formula did you use?
Make the same sequence in a diffenrent way.
hint: use parentheses
 Wich formula did you use?
Make the sequence
60, 57, 54, 51, …..
 Wich formula did you use?
task 5
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Use the formula
number * (number +1) : 2
to make the sequence
1, 3, 6,10,…
Try to make in a similar way the sequence: 2, 6, 12, 20, …
 Wich formula did you use?
And at last the sequence: 3, 8, 15, 24, ..
 Wich formula did you use?
comments
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Sequences, worksheet
workshop at PSI, Friday July 20, 2001
WisWeb-project