14, 22, 34.5, 55.5, 87.25, 135.875, 209.125

Correct Answer: 2824

Explanation:

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

Correct Answer: 30950

Explanation:

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

Correct Answer: 3082

Explanation:

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

Correct Answer: 675

Explanation:

the difference of the numbers (+ 111).

Correct Answer: 312

Explanation:

The difference of the number is (- 121).

Correct Answer: 35

Explanation:

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.

Correct Answer: 32

Explanation:

From the given graph , we can see that the increasing order of series as -
First term = 2
Second term = First term × 2 + 2²
? Second term = 2 × 2 + 2² = 4 + 4 = 8 ;
Third term = Second term × 3 + 3²
? Third term = 8 × 3 + 3² = 24 + 9 = 32 ; 32 is wrong. It should be 33.
Similarly , we can find all others terms also.
Fourth term = Third term × 4 + 4²
? Fourth term = 33 × 4 + 4² = 132 + 16 = 148 ;
Fifth term = Fourth term × 5 + 5²
? Fifth term = 148 × 5 + 5² = 740 + 25 = 765 ;
Sixth term = Fifth term × 6 + 6²
? Sixth term = 765 × 6 + 6² = 4590 + 36 = 4626 ;
Seventh term = Sixth term × 7 + 7²
? Seventh term = 4626 × 7 + 7² = 32382 + 49 = 32431
Hence, 32 is wrong. It should be 33.

Correct Answer: 9

Explanation:

The given series is in the below pattern,we can see that
Next term = Previous term ÷ n { putting n = 2 and 1.5 alternately }
First term = 108
Second term = First term ÷ 2
? Second term = 108 ÷ 2 = 54 ;
Third term = Second term ÷ 1.5
? Third term = 54 ÷ 1.5 = 36 ;
Third term = Third term ÷ 2
? Fourth term = 36 ÷ 2 = 18 ;
Fifth term = Fourth term ÷ 1.5
? Fifth term = 18 ÷ 1.5 = 9 is wrong. It should be 12.
Sixth term = Fifth term ÷ 2
? Sixth term = 12 ÷ 2 = 6 ;
Seventh term = Sixth term ÷ 1.5
? Seventh term = 8 ÷ 1.5 = 4
Hence, 9 is wrong. It should be 12.

Correct Answer: 99

Explanation:

From above given series , we can see that
The differences are given as -
Second term - First term = 1? 0 = 1 = 1³;
Third term - Second term = 9 ? 1= 8 = 2³;
Similarly , we can find all others terms also.
Fourth term - Third term = 36 ? 9 = 27 = 3³;
Fifth term - Fourth term = 99 ? 36 = 63 ? 4 ³
But , Fifth term - Fourth term = 100 ? 36 = 64 = 4³;
Here , fifth term 99 is wrong , it should be 100 as fifth term .
Sixth term - Fifth term = 225 ? 100 = 125 = 5³;
Seventh term - Sixth term = 441? 225 = 216 = 6³

Correct Answer:

Explanation:

As per the details in the question the series is in the form of
First term = 2
Second term = First term × 1.5
? Second term = 2 × 1.5 = 3 ;
Third term = Second term × 2
? Third term = 3 × 2 = 6 ;
Similarly , we can find all others terms also.
Fourth term = Third term × 2.5 = 6 × 2.5 = 15 ;
Fifth term = Fourth term × 3 = 15 × 3 = 45 ;
Sixth term = Fifth term × 3.5 = 45 × 3.5 =156.5; 156.5 is wrong. It should be 157.5 .
Seventh term = Sixth term × 4 =157.5 × 4 = 630
Hence, 156.5 is wrong. It should be 157.5.