Question

Find the missing number $3,12,27,48,75,108?$.

Answer 1

Step $1$: Write the number pattern

Given pattern, $3,12,27,48,75,108?$

The pattern of the given series is as shown.

$3+3\times 3=3+9$

$=12$

$12+3\times 5=12+15$

$=27$

$27+3\times 7=27+21$

$=48$

$48+3\times 9=48+27$

$=75$

$75+3\times 11=75+33$

$=108$

Step $2$: Find the missing number

So the next number is

$108+3\times 13=108+39$

$=147$

Hence, the missing number is $147$.