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Question

3, 27, 243, 2187, 19683 … 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 3, 27, 243, 2187, 19683 …

Let us divide each term of the sequence by its previous term.

27÷3=9

243÷27=9

2187÷243=9

19683÷2187=9

We observe that each term in the sequence is 9 times the previous term.

So the given 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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