Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18

Joni Kenny 2021-08-21 Answered
Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18

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Expert Answer

Faiza Fuller
Answered 2021-08-22 Author has 9600 answers
Given series: 9,2, 6561, 43046721
We need to determine the missing number in the series.
First, we note that \(\displaystyle{43046721}={6561}\cdot{6561}={6561}^{{2}}\) and thus we suspect that each term is the square of the next term.
Let us determine the square of the first term 9:
\(\displaystyle{9}^{{2}}={81}\)
Thus we suspect that the missing term is 81, which is confirmed by the fact that \(\displaystyle{81}^{{2}}—{6561}\).
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