Question

Find the next term of the pattern after 14:
$2,6,10,14,...$

• A. 16
• B. 18
• C. 20

Answer 1

The correct option is B 18

$\underset{–}{ConceptInvolved:}$
The formula of the next term is given as:
Next term = Previous term + Fixed Constant

$\underset{–}{Method:}$
Here if we look at the pattern, $2,6,10,14,...$
we observe that Next term - Previous term
$=6-2=10-6$
$=14-10=4=$ Fixed Constant
This shows that the difference is same for all consecutive terms in this pattern.

The next term after 14 would be
$14+4$(Since Next term = Previous term + Fixed Constant)
$=18$

18 would be the next term of the pattern after 14.