Question Detail

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

1. 1,6,15,(...),45,66,91

Answer: Option B

Explanation:

Pattern in the series is, +5, +9, .., .., +21, +25
So 4 is getting increased at every term addition.
Missing term in the series will be 15+(9+4)
= 15+13 = 28

2. Complete the series, 1, 4, 9, 16, 25,....

Answer: Option A

Explanation:

Series Pattern is +3, +5, +7, +9.

So next number = 25+11 = 36

3. 6, 11, 21, 36, 56, ... ?

Answer: Option A

Explanation:

Pattern is +5, +10, +15, + 20. So next will be 56+25 = 81

4. 5, 6, 7, 8, 10, 11, 14, (...) ?

Answer: Option D

Explanation:

Please check that given sequence consists of two series

Series 1: 5, 7, 10, 14
Series 2: 6, 8, 11, ...

In series 2 pattern is +2, +3, Next will be +4
So required number in the series will be 11+4 = 15