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Question

10, 100, 1000, 10000, 100000 … is ___.


A

an arithmetic sequence

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B

a geometric sequence

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C
(a) and (b) above.
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D
None of the above
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Solution

The correct option is B

a geometric sequence


The given sequence is 10, 100, 1000, 10000, 100000 …

Here in the above sequence, we observe that each term is 10 times the previous term

i.e. 10 × 10 = 100
100 × 10 = 1000
1000 × 10 = 10000

So the sequence is a geometric sequence.

If the consecutive terms were formed by adding a constant quantity with the preceding term, the sequence would have been arithmetic.


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