The series is x 1.5, x 2, x 2.5, x 3, x 3.5

The series is : 23², 29², 31², 37², 41², ..........(Square of prime numbers)

The series is : 2², + 3², + 4², + 5², + 6², ..........

The difference of the number is (- 121).

the difference of the numbers (+ 111).

The series is + 123, + (123 x 2), +(123 x 3), + (123 x 4), ...

The series is x 4 -1, x 4 - 2, x 4 - 3, x 4 - 4, ....,

The series is ;
+ 3³, + 5³, + 7³, + 9³, + 11³, + 13³, ............

None of these

The given series is in the below pattern,
First term = 10
Second term = First term + 5 = 15
? Second term = 10 + 5 =15 ,
Third term = Second term + 9 = 24
? Third term = 15 + 9 = 24 ,
Similarly , we can find the all others terms also.
24 + 13 = 35, is wrong. It should be 37.
Fourth term = Third term + 13 = 37 + 17 = 54 ,
Fifth term = Fourth term + 17 = 54 + 21 = 75 ,
Sixth term = Fifth term + 21 = 75 + 25 = 100
The difference in successive nos. 9 ? 5 = 13 ? 9 = 17 ? 13 = 21 - 17 = 4.
Hence, 35 is wrong. It should be 37.