Odd Man Out and Series - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Odd Man Out and Series :: Discussion

What should come in place of the question mark (?) in the following number series:
4, 5, 14, 51, ?

220

162

280

216

Answer : Option A

Explanation :

The sequence in the given series is

x 1 + 1² = 4 x 1 + 1² = 4+1 = 5,
x 2 + 2² = 5 x 2 + 2² = 10+4 = 14,
x 3 +3² = 14 x 3 + 3² = 42 + 9 = 51,
x 4 + 4² = 51 x 4 + 4² = 204 + 16 = 220