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 2020-11-02 Answered

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

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mhalmantus
Answered 2020-11-03 Author has 106 answers
Given statement is false.
For example, let us consider an arithmetic sequence 2, 4, 6.
Now multiply by 2 to each term of above arithmetic sequence, we get
2), 2(4), 2(6)  4, 8, 12
Clearly this sequence is not a geometric sequence, because 84  128
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