2, 7, 30, 138, 524, 1557, 3102

Correct Answer: 72

Explanation:

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

Correct Answer: 20

Explanation:

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

Correct Answer:

Explanation:

The series is x 0.5 + 0.5, x 1 + 1, x 1.5 + 1.5. x 2 + 2, x 2.5 + 2.5, x 3 +3

Correct Answer: 621

Explanation:

As per above given series , we can see that
Descending order of given series -
Next term = ( 5 x previous term ) + odd number ( which starts 3 )
Here , 5th term = 4
4th term = 5 × 5th term + 3
? 4th term = 5 × 4 + 3 = 23
3rd term= 5 × 4th term + 7
? 3rd term= 5 × 23 + 7 = 122
Similarly , we can find all others terms also.
2nd term = 5 × 3rd term + 11
? 2nd term = 5 × 122 + 11 = ?
? ? = 621
1st term = 5 × 2nd term + 15
? 1st term = 5 × 621 + 15 =3120

Correct Answer: 16

Explanation:

The given series is in the below pattern,we can see that
Square root of ( First term - Third term ) = Second term
? Square root of ( 251 ? 107 ) = Square root of 144 = 12 = Second term
Square root of ( Fourth term - sixth term ) = Fifth term
? 381 ? 125 = Square root of 256 = 16 = Fifth term
? Fifth term ( ? ) = 16
Hence, 16 is the missing number in the given question.

Correct Answer: 14

Explanation:

The series is x 2 - 2, x 2 - 2, x 2 - 2, x 2 - 2, ......

Correct Answer: 356

Explanation:

Pattern is x 2 + 1, x 3 + 1, x 2 + 1, x 3 + 1, ........

Correct Answer: 32

Explanation:

Pattern is : x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4, ............

Correct Answer: 48

Explanation:

Pattern is : - 192, - 96, - 48, - 24, -12, - 6

Correct Answer: 96

Explanation:

Pattern is : + 6, + 12, + 24, + 48, +96, + 192