Delhi University MCA Number Series Previous Year Questions (PYQs)

Given series: $2,7,14,23,34,\mathrm{\_}\mathrm{\_}$

Find the differences:

$7-2=5$,   $14-7=7$,   $23-14=9$,   $34-23=11$

Difference pattern: $5,7,9,11$ (increases by 2 each time)

Next difference $=11+2=13$

Next term $=34+13=47$

Answer: $\boxed{{\displaystyle 47}}$ ✅

Given series: $6,20,42,72,110,\mathrm{\_}\mathrm{\_}$

First differences: $14,22,30,38$

Second differences: $8,8,8$ (constant)

Next first difference $=38+8=46$

Next term $=110+46=156$

Answer: $\boxed{{\displaystyle 156}}$ ✅