A sequence is geometric if the ratio between any consecutive terms is the same. Each geometric sequence has a common ratio. Example 1: Is the sequence 9, -18, 36, -72, … geometric? If so, state the recursive formula. What is the 13th term of the sequence? t 1 = t 2 = t 3 = ... t n = → t 13 = In general, if the first term of a sequence is a and the common ratio is r, then the n th term is given by the formula _______________. Example 2: How many terms are in the geometric sequence 8748, 2916, 972, …, 12? Example 3: A company has 3 kg of radioactive material that must be stored until it becomes environmentally safe. After one year, 95% of the radioactive material remains. How much radioactive material will be left after 100 years? Geometric Sequences
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A sequence is geometric if the ratio between any consecutive terms is the same. Each geometric sequence has a common ratio.
Example 1:Is the sequence 9, -18, 36, -72, … geometric? If so, state the recursive formula.
What is the 13th term of the sequence?
t1 =
t2 =
t3 =
...
tn = → t13 =
In general, if the first term of a sequence is a and the common ratio is r, then the nth term is given by the formula _______________.
Example 2:How many terms are in the geometric sequence 8748, 2916, 972, …, 12?
Example 3:A company has 3 kg of radioactive material that must be stored until it becomes environmentally safe. After one year, 95% of the radioactive material remains.How much radioactive material will be left after 100 years?
Geometric Sequences
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