Question Detail

Complete the series 2,2,5, 13,28,....

Answer: Option C

Explanation:

\begin{aligned}
\text{Pattern is }\\
+1^2-1, +2^2-1, +3^2-1,+4^2-1 \\
5^2-1 = 28 + 24 \\
= 52
\end{aligned}

1. 5, 9, 17, 29, 45, ... ?

Answer: Option C

Explanation:

Pattern in the series is +4, +8, +12, +16.
Next term will be 45 + 20 = 65

2. 6, 11, 21, 36, 56, ?
what will replace the question mark in the series ?

Answer: Option B

Explanation:

Pattern is +5, +10, + 15, +20

Next number in the series will be 56 + 25 = 81

3. 1,1,3,9,6,36,10,100,(..),225

Answer: Option D

Explanation:

Given sequence is combination of two series
Series 1 : 1,3,6,10,..
Series 2 : 1,9,36,100,225

In series 1 pattern is +2, +3, +4. So next term will be
10+5 = 15

4. 19, 2, 38, 3, 114, 4, ? . Which term should replace the question mark in this series ?

Answer: Option C

Explanation:

Please check the given sequence is combination of two series.
Series 1: 19, 38, 114, ...
Series 2: 2,3,4

In series 1, Pattern followed is *2, *3, so next will be *4
Next term will be
114*4 = 456