Question

Find the missing term in the series : $3,20,63,144,270,?$

• A. $354$
• B. $468$
• C. $548$
• D. $554$

Answer 1

Answer: (B)

$468$

The series follows a pattern,

$3\times 1=3$,

$(3+1)\times (1+4)=4\times 5=20$,

$(4+3)\times (5+4)=7\times 9=63$,

$(7+5)\times (9+3)=12\times 12=144$,

$(12+1+5)\times (12+3)=18\times 15=270$,

$(18+3+5)\times (15+3)=26\times 18=468$.

Thus, 468 replaces question mark ?.