The next term in the series 81, 54, 36, 24, ..... is.

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Solution

81, 54, 36, 24,_

Alternate terms are perfect squares $9^{2}, 6^{2}, 4^{2}$ and in between terms are products $9 \times 6, 6 \times 4,$ and so on.

Therefore missing terms is
$4^{2} = 16$

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Similar questions

\frac{1}{81}, \frac{1}{54}, \frac{1}{36}, \frac{1}{24}, ?

(21 - 49), (24 - 64), (25 - 54), (81 - 36)

Find the next two terms of the series :

2 - 6 + 18 - 54 .......................... .

81

24

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