Geometric Series Answers
How many pennies are on each square? A = B = C = D = E = F = G = H =
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2
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4
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8
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16
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32
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64
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128
How many pennies are on the nth square?
The sequence formed is geometric, with
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2
Which formula can be used to sum the first n terms of a geometric sequence?
Explain how you should use the formula to calculate the number of pennies on Rows 1-4. Why use the formula?
The formula is much faster. Substitute in a1=1, r = 2, and n = 32 into the formula.
Which of the following did you include?
Which of the following is the total number of pennies on Rows 1-4 (the first 32 squares)?
Explain why there are so many pennies on Rows 1-4. How do you think the number of pennies on Rows 5-8 will compare?
The number of pennies doubles each row, causing exponential growth. Therefore, Rows 5–8 will contain much more than Rows 1–4.
Check every statement that is true about your prediction of the total pennies on Rows 1-4.
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