객관식
Write a formula for the general or term for each geometric sequence.
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13. Sequences, Series, and the Binomial Theorem
Geometric Sequences
객관식
Identify if each sequence is arithmetic, geometric, or neither.
A
Arithmetic
B
Geometric
C
Neither
검증된 단계별 안내1
First, recall the definitions: an arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio between consecutive terms.
Calculate the differences between consecutive terms: \(11 - 5\), \(17 - 11\), \(23 - 17\), and \(29 - 23\).
Check if all these differences are equal. If they are, the sequence is arithmetic.
If the differences are not equal, calculate the ratios of consecutive terms: \(\frac{11}{5}\), \(\frac{17}{11}\), \(\frac{23}{17}\), and \(\frac{29}{23}\).
Check if all these ratios are equal. If they are, the sequence is geometric. If neither the differences nor the ratios are constant, then the sequence is neither arithmetic nor geometric.
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