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3 cards from this section. Quick, good the night before a test.
Identify whether the following sequence is geometric: 3, 9, 27, 81.
Check if multiplying previous term gives the next term.
Find the first term and common ratio of the sequence 4, 12, 36.
Divide a term by its previous term.
What is a geometric series?
Focus on the concept of summation.
The common ratio in a geometric series must be greater than 0. True or False?
Consider examples of geometric sequences with negative ratios.
A computer program doubles its speed every year. If it starts at 2 GHz, how fast will it be after 10 years? Use the concept of geometric sequences to derive your answer.
Use the first term and common ratio to calculate the final speed using the formula.
An investment of $1,000 grows by 5% each year. How much will it be worth after 20 years? Solve it using the geometric series approach.
Think of how the investment repeats the multiplication process year after year.
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