From given figure , it is clear that the increasing order of series given as -
First term = 0
Second term = First term + 5 = 5 ,
Third term = Second term + 55 = 60
Similarly , we can calculate all others terms also.

Correct Option: B

From given figure , it is clear that the increasing order of series given as -
First term = 0
Second term = First term + 5
⇒ Second term = 0 + 5 = 5
Third term = Second term + 55
⇒ Third term = 5 + 55 = 60
Similarly , we can find all others terms also.
Fourth term = Third term + 555
⇒ Fourth term = 60 + 555 = 615
Fifth term = Fourth term + 5555
⇒ Fifth term = 615 + 5555 = ?
∴ Fifth term ( ? ) = 6170

As per the details in the question the series is in the form of
The sum of the first two nos. is the third no.
First term + Second term = Third term
Second term + Third term = Fourth term
Similarly , we can calculate all others terms also.

Correct Option: E

As per the details in the question the series is in the form of
The sum of the first two nos. is the third no.
∴ First term + Second term = Third term
⇒ 1 + 3 = 4 ;
Second term + Third term = Fourth term
⇒ 3 + 4 = 7 ;
Third term + Fourth term = Fifth term
⇒ 4 + 7 = 11 ;
Fourth term + Fifth term = Sixth term
⇒ 7 + 11 = 18 ;
Fifth term + Sixth term = Seventh term
⇒ 11 + 18 = 27 is wrong. It should be 29.
Sixth term + Seventh term = Eighth term
⇒ 18 + 29 = 47
Hence, 27 is wrong. It should be 29.

The series is 18 +1² = 19; 19 + 2² = 23; 23 + 3² = 32;
32 + 4² = 48; 48 + 5² = 73 + 6² = 109

Correct Option: A

The series is 18 +1² = 19; 19 + 2² = 23; 23 + 3² = 32;
32 + 4² = 48; 48 + 5² = 73 + 6² = 109

The series is x 2 + 1, x 2 + 2, x 2 + 3, x 2 + 4, x 2 + 5

Correct Option: D

The series is x 2 + 1, x 2 + 2, x 2 + 3, x 2 + 4, x 2 + 5

(2 - 1) x 7 = 7; (7 - 2) x 6 = 30; (30 - 3) x 5 = 135; (135 - 4) x 4 = 524;
(524 - 5) x 3 = 1557; (1557 - 6) x 2 = 3102

Correct Option: C

(2 - 1) x 7 = 7; (7 - 2) x 6 = 30; (30 - 3) x 5 = 135; (135 - 4) x 4 = 524;
(524 - 5) x 3 = 1557; (1557 - 6) x 2 = 3102