3,429 views
13 votes
13 votes
The next term in the series $81, 54, 36, 24,\dots $ is_________.

4 Answers

Best answer
16 votes
16 votes

We get next term in sequence by $\left(\dfrac{X}{3}\right)\times 2$
$\dfrac{81}{3} =27\times 2 = 54$

$\dfrac{54}{3} =18\times 2 =36$

$\dfrac{36}{3} =12\times 2 = 24$

$\dfrac{24}{3} = 8\times 2 = 16$

Answer)16

edited by
9 votes
9 votes

ALTERNATE LOGIC (Look at the number of 2's)

$ 81 = 3 \times 3 \times 3 \times 3  $

$ 54 = 3 \times 3 \times 3 \times$$ 2  $

$ 36 = 3 \times 3 \times$$ 2 \times 2  $

$24= 3 \times$$ 2 \times 2 \times 2  $

$16=$ $2 \times 2 \times 2 \times 2  $

edited by
2 votes
2 votes
$81,54,36,24,$______

$\dfrac{81}{1.5} = 54$

$\dfrac{54}{1.5} = 36$

$\dfrac{36}{1.5} = 24$

$\dfrac{24}{1.5} = 16$

So, the correct answer is $16.$
Answer:

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