The given sequence is based on the following pattern :
First term = 2
Second term = First term + 4 = 2 + 4 = 6
Third term = Second term + 6 = 6 + 6 = 12
Fourth term = Third term + 8 = 12 + 8 = 20
Fifth term = Fourth term + 10 = 20 + 10 = 30
Sixth term = Fifth term + 12= 30 + 12 = 42
........... and so on.

Correct Option: D

The given sequence is based on the following pattern :
First term = 2
Second term = First term + 4 = 2 + 4 = 6
Third term = Second term + 6 = 6 + 6 = 12
Fourth term = Third term + 8 = 12 + 8 = 20
Fifth term = Fourth term + 10 = 20 + 10 = 30
Sixth term = Fifth term + 12= 30 + 12 = 42
Seventh term = Sixth term + 14= 42 + 14 = 56
Eight term = Seventh term + 16= 56 + 16 = ?
∴ ? = 72

∴ Required number = 72

In the given sequence, (starting from the third number) the succeeding number is sum of two just preceding numbers. i.e.,
1 = 0 + 1
2 = 1 + 1
3 = 1 + 2
5 = 2 + 3
13 = 5 + 8

Correct Option: A

In the given sequence, (starting from the third number) the succeeding number is sum of two just preceding numbers. i.e.,
1 = 0 + 1
2 = 1 + 1
3 = 1 + 2
5 = 2 + 3
13 = 5 + 8
x = 8 + 13
∴ x = 21

The sequence is based on the following rule:

Correct Option: C

The sequence is based on the following rule:

Hence, the sixth term is 25

The given sequence is based on the following pattern :
Adding +6 , +10 , +14 , +18 , +22 .....

Correct Option: B

The given sequence is based on the following pattern :
Adding +6 , +10 , +14 , +18 , +22 .....

Hence, 72 will be the next number.

As we know that ,

Required sum = 2		n(n + 1)		+ 50
		2

Correct Option: B

As we know that ,

Required sum = 2		n(n + 1)		+ 50
		2