HERE'S AN APPETIZER 

3rd year of secondary education 


1.
VERY EASY


In
this window you can see the 6 first terms of five series of numbers. If you change the value of the parameter a different series will appear, which follows the same pattern as the original
one.



1. What's
the next number in each of the five original series?
2. Change
the parameters to those which appear in the table below and complete the table with the
missing information.
3. Form
five different series, which follow a similar pattern to the ones on the electronic board, so that
the sixth term in each case is 8.



2.
FINDING OUR WAY


In this window there are four series and there are four numbers in each series. The two middle numbers have been replaced by zero and we don't remember what these numbers were. We only know that in order to achieve our aim of finding the last number in each series we should add, subtract, multiply or divide each term by the same value, which we have also forgotten. Furthermore, the electronic board isn't working very well, so we can only change the parameter values by using the mouse and keyboard. 


4. Try
different parameter values until you find the "key"
number in each sequence.
You will know when you've got the right answer as 1 will appear in the correct
answer column instead of 0.
5. When
you have found the four key numbers explain how each series is formed in your
exercise book.
6. Form
six more series which are similar to the ones above and give them to your
classmates to try and work out.


3.
FINDING THE RULE


There
are five number sequences in this window. As you change the parameter you will see how we move along the sequence term by term. The number n tells us the position in the series of the first term that appears on the screen.

























Josep Mª Navarro Canut 


ProyectoDescartes.org. Year 2013




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