The given series is in the below pattern ,
First series :-
First term = 2
Second term = First term × 2 - 1 = 3
Third term = Second term × 3 - 2 = 7
similarly , we can calculate the all next terms .
Second series :-
First term = 3
Second term = First term × 2 - 1 = 5
Third term = Second term × 3 - 2 = 13

Correct Option: B

The series is × 2 –1, × 3 – 2, × 4 – 3,.....
The given series is in the below pattern ,
First series :-
First term = 2
Second term = First term × 2 - 1
⇒ Second term = 2 × 2 - 1 = 3
Third term = Second term × 3 - 2
⇒ Third term = 3 × 3 - 2 = 7
similarly , we can calculate the all next terms .
Second series :-
First term = 3
Second term = First term × 2 - 1
⇒ Second term = 3 × 2 - 1 = 5
Third term = Second term × 3 - 2
⇒ Third term = 5 × 3 - 2 = 13
Fourth term = Third term × 4 - 3
⇒ Fourth term = 13 × 4 - 3 = 49
Hence , the place value of ( c ) is 49 .

As per the details in the question the series is in the form of
First series :-
First term = 1
Second term = First term × 1 + 7 = 8
Third term = Second term × 2 - 6 = 10
similarly , we can calculate the all next terms .
Second series :-
First term = 2
Second term = First term × 1 + 7 = 9
Third term = Second term × 2 - 6 = 12

Correct Option: E

As per the details in the question the series is in the form of
First series :-
First term = 1
Second term = First term × 1 + 7
⇒ Second term = 1 × 1 + 7 = 8
Third term = Second term × 2 - 6
⇒ Third term = 8 × 2 - 6 = 10
similarly , we can find the all others terms .
Second series :-
First term = 2
Second term = First term × 1 + 7
⇒ Second term = 2 × 1 + 7 = 9
Third term = Second term × 2 - 6
⇒ Third term = 9 × 2 - 6 = 12
Fourth term = Third term × 3 + 5
⇒ Fourth term = 12 × 3 + 5 = 41
Hence , the place value of ( c ) is 41 .

As per the details in the question the series is in the form of
First series :-
First term = 9
Second term = First term × 2 + 1.5 = 19.5
Third term = Second term × 2 + 2 = 41
similarly , we can calculate the all next terms .
Second series :-
First term = 12
Second term = First term × 2 + 1.5 = 25.5
Third term = Second term × 2 + 2 = 53

Correct Option: E

As per the details in the question the series is in the form of
First series :-
First term = 9
Second term = First term × 2 + 1.5 = 19.5
Third term = Second term × 2 + 2 = 41
similarly , we can calculate the all next terms .
Second series :-
First term = 12
Second term = First term × 2 + 1.5 = 25.5
Third term = Second term × 2 + 2 = 53
Fourth term = Third term × 2 + 2.5
⇒ Fourth term = 53 × 2 + 2.5 = 108.5
So, 108.5 should come in place of (c).

From the above given series , we have
First term + 350 = Second term
⇒ 156 + 350 = 506
Second term + 550 = third term
⇒ 506 + 550 = ? ⇒ ? = 1056
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Correct Option: A

From the above given series , we have
First term + 350 = Second term
⇒ 156 + 350 = 506
Second term + 550 = third term
⇒ 506 + 550 = ? ⇒ ? = 1056
From the given figure , we get the value of third term ( ? ) = 1056
Third term + 550 = Fourth term
⇒ 1056 + 750 = 1806

See the below image and find the pattern to solve this question.

Correct Option: D

See the below image and you will find a pattern in which numbers are getting added for next number in the given series.
From the given figure , we get the value of sixth term ( ? ) = 69