SQUARES AND STICKS
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---------------------- Look at the sequence of figures below.
1) Draw the two figures that follow in sequence.
2) Calculate the number of sticks needed to draw the figure N ° 10
3) Noting some regularity, calculates necessary to draw stick figure ocuupa place 100 of that sequence.
4) If we call n the figure number, write a formula to calculate the sticks in n function.
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POSSIBLE SOLUTIONS
told The manner in which sticks found two different solutions but turned out to be two different ways to write the same formula. See ...
In the figure below, drag the slider and see how it follows the sequence.
This fellow was as follows:
Four sticks to the first set and then added three sticks for each of the following figures.
Move the slider to confirm. Have been painted a different color sticks that are adding figure to figure.
See if there is any relationship between the amount added 3 and the figure number in each case. To see more clearly, it should complete a table like the following. Remember to leave raised the operations.
The number of times that sum 3 is one less than the figure number!
That is:
sticks Qty = 4 + 3. (Figure number minus 1) If you call
n the figure number and p the number of sticks, then, to 4 must be added ( n - 1) times 3.
The formula here is:
ANOTHER WAY OF TELLING STICKS
That led to another formula. See ...
This companion aims to have the sticks like this:
Three sticks for each a stick figure at the end to close.
With what the formula here is:
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