Question

Match the sequence with its next number.

• A. 125
• B. 27
• C. 16

Answer 1

The next number in each sequence is multiplied by a certain number with the previous number.

$\left(i\right)$ 1, 3, 9, ___
Here, the next number is mutiplied by 3 with the previous number.
$1\times 3=33\times 3=99\times 3=27$
$\therefore$ 1, 3, 9, $\underset{–}{27}$

$\left(ii\right)$ 2, 4, 8, ___
Here, the next number is mutiplied by 2 with the previous number.
$2\times 2=44\times 2=88\times 2=16$
$\therefore$ 2, 4, 8, $\underset{–}{16}$

$\left(iii\right)$ 1, 5, 25, ___
Here, the next number is mutiplied by 5 with the previous number.
$1\times 5=55\times 5=2525\times 5=125$
$\therefore$ 1, 5, 25, $\underset{–}{125}$