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3 cards from this section. Quick, good the night before a test.
Find the 6th term of the sequence: 2, 6, 18, 54,…
Use the formula for the n-th term: T = ar^(n-1).
Is the sequence 1, 3, 9, 27 geometric? Justify.
Check the ratio of consecutive terms.
What is the 4th term in a geometric sequence with a=2 and r=3?
Use the n-th term formula.
An infinite geometric series converges only if the absolute value of the common ratio is less than 1.
Remember the condition for convergence.
A company invests $100,000 in a project that appreciates in value by 8% per year. How much will it be worth in 15 years?
Apply the compound interest formula.
You observe that the size of a certain bacteria population doubles every 4 hours. If you start with a population of 250 bacteria, how large will it be after 24 hours?
Determine how many doubling periods there are in 24 hours.
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