Question

Find the next term of the following sequence:
$33$, $27$, $21$, $15$, ______

• A. $10$
• B. $9$
• C. $8$
• D. $7$

Answer 1

The correct option is B $9$

Given sequence: $33$, $27$, $21$, $15$, ______
Need to find: $5^{\text{th}}$ term

By observing the pattern in the above sequence, we get
$33-6=27$,
$27-6=21$,
$21-6=15$,
$15-6=\underset{–}{9}$

$\therefore$ We can summarize the pattern as
$\text{Next term}=\text{Previous term}-6$

Hence,
$5^{\text{th}}\text{term}$
$=4^{\text{th}}\text{term}-6$
$=15-6$
$=\underset{–}{9}$

So, option (b.) is the correct one. ​​​