Find the missing term in the following series.

1)

Find the missing term in the series : 3,20,63, 144,275, ?


A) 554

B) 548

C) 354

D) 468

Answer:

Option D

Explanation:

As discussed above we may label the given series as series I and then form series II to Series IV as shown below:

Series I:  3   20   63   144   275   ?

Series II: 17  43  81  131  ? 

Series III: 26  38  50  ?

Series IV: 12  12 

Cleary the pattern in series III is +12

So the missing term in series III = 50 + 12 = 62;

Missing term in series II = 131 + 62 = 193;

Missing term in series I =  275 + 193 = 468;

Thus the missing term is 468. Hence the answer is (d)

Direct Method

Clearly we have:

Missing term = 275 +(131 + 50 + 12) = 468.