Question

Find the next two terms of the sequence: $6,2,12,4,24,...$

• A. $8,48$
• B. $10,60$
• C. $6,36$

Answer 1

The correct option is A $8,48$

$\underset{–}{ConceptInvolved:}$

The given terms follow a pattern. The pattern is that second term is obtained by dividing the first term by $3$ and third term is obtained by multiplying the second term by $6$ and this pattern follows.

$\underset{–}{Method:}$

Second term:
$2=6÷3$
Third term:
$12=2\times 6$
Fourth term:
$4=12÷3$
Fifth term:
$24=4\times 6$
Sixth term:
$8=24÷3$
Seventh term:
$48=8\times 6$

Next two terms after $24$ would be $8$ and $48$ respectively obtained by applying the rules given in the pattern.