Geometric sequence
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This document discusses geometric sequences. It defines a geometric sequence as a sequence where each term is found by multiplying or dividing the same value from one term to the next. It provides the general formula for a geometric sequence as {a, ar, ar2, ar3...} where a is the first term and r is the common ratio between terms. It then gives some examples of geometric sequences and problems involving finding missing terms and common ratios.
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Geometric Sequence
This document discusses geometric sequences and provides examples. It defines a geometric sequence as a sequence where each term is found by multiplying or dividing the same value from one term to the next. An example given is 2, 4, 8, 16, 32, 64, 128, etc. The document also provides the general formula for a geometric sequence as {a, ar, ar2, ar3, ...} where a is the first term and r is the common ratio between terms. It gives practice problems for finding missing terms and the common ratio of geometric sequences.
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The document defines and discusses properties of geometric sequences, including:
- A geometric sequence is a sequence where each term is found by multiplying the preceding term by a constant ratio q.
- The general term of a geometric sequence is un = u1qn-1, where u1 is the first term and q is the common ratio.
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1. The sequence is a geometric sequence with first term a1 = 3 and ratio r = 3. The specific formula is an = 3(3)n-1. The sum of the first 20 terms is 1743392200 and the infinite sum is 3072.
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- 8. What is Geometric Sequence??? Geometric sequence is a sequence where each term is found by multiplying or dividing the same value from one term to the next.
- 9. Example 2, 4, 8, 16, 32, 64, 128, โฆ
- 10. In general, we could write a geometric sequence like this: { a, ar, ar2, ar3, โฆ } where: a is the first term, and r is the factor between the terms
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