Currently viewing the tag: "Formulas"
NUMBER TRICK This is for secondary students and top primary. On any calendar of any month of any year put a box around four dates, two in one week and two in the following week (all four dates must be within the same month). Add the numbers up and tell me the total. I can […]
This square of squares pattern has edge length 5 squares. You could make this pattern with 48 matchsticks.
Work out the number of edge squares and the number of lines (matchsticks) needed to make the pattern with: side length 6, side length 25, side length 100, side length n.
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Multiply out these expressions:
What do you notice?
Does this pattern continue?
Can you prove it?
What does this tell you about the sum to n terms of the geometric series with first term 1 and common ratio r?
Why do we get a formula for all values of r except r = 1?
Explain […]
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