You are having a discussion about sequences with your classmate. She insists that the sequence 2,3,5,8,12 must be a Arithmatic or geometric. Is she correct or incorrect explain

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07-04-2015
Mathematics

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You are having a discussion about sequences with your classmate. She insists that the sequence 2,3,5,8,12 must be a Arithmatic or geometric. Is she correct or incorrect explain

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Greenleafable Greenleafable · Answer 1 · 2017-03-14T11:26:55-04:00

The arithmetic sequences have a constant difference between two terms. This sequence does not match this criterion, look: 12-8 = 4; 8-5=3; 5-3=2. Then it is not arithmetic. Let's examine whether it is geometric. Geometric sequences have a constant ration between adjacent terms: given that 3/2 is different to 5/3, and both are different to 8/5 and so on, this sequence does not either match this requirement. Then the sequence is not arithmetic or geometric.