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Question

Find the next term of the geometric sequence:

6, 36, 216, 1296…


A
6666
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B
7766
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C
7776
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D
7676
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Solution

The correct option is C 7776

The given geometric series is 6, 36, 216, 1296…

Let us divide each term in the above sequence by the term preceding it.

36÷6=6

216÷36=6

1296÷216=6

We observe that each term in the above sequence is 6 times the term preceding it.

So, the next term in the above sequence = 1296×6=7776


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