True or false: If the sequence a, b, c text{ is arithmetic, then the sequence} 2a, 2b, 2c is geometric. Justify by giving example.

Bevan Mcdonald

Bevan Mcdonald

Answered question

2020-11-02

True or false: If the sequence a, b, c is arithmetic, then the sequence 2a, 2b, 2c is geometric. Justify by giving example.

Answer & Explanation

mhalmantus

mhalmantus

Skilled2020-11-03Added 105 answers

Let us consider an arithmetic sequence 2, 4, 6. 
Multiply by 2 to each term of above arithmetic sequence, 
2), 2(4), 2(6)  4, 8, 12 
This is not a geometric sequence, because 84  128, so answer is false

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