13, 14, 27, 45, 68, 109, 177

Correct Answer: 6970

Explanation:

4 x 4 + (4 x 3) = 28
28 x 5 + (5 x 4) =160
160 x 6 + (6 x 5) = 990
990 x 7 + (7 x 6) = 6972
6972 x 8 + (8 x 7) = 55832
55832 x 9 + (9 x 8) = 502560

Correct Answer: 9

Explanation:

Pattern is : the series is the combination of three series -each term is twice the preceding term.
(i) 1^st, 4^st, 7^st term i. e 2,4,9,.......
(ii) 2^st, 5^st, 8^st term i, e 3,6,12.....
(iii) 3^st, 6^st, 9^st 4,8,16......
So, 9 is wrong.

Correct Answer: 96

Explanation:

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

Correct Answer: 48

Explanation:

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

Correct Answer: 32

Explanation:

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

Correct Answer: 1296

Explanation:

All nos, in the given series are squeres of odd nos, except 1296
1296 = (36)²

Correct Answer:

Explanation:

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.

Correct Answer:

Explanation:

The given series is in the below pattern,we can see that
Next term= ( Previous term × variable ) + variable
First term = 3
Second term = ( First term × variable ) + 0.5 = ( 3 x 0.5 ) + 0.5 = 2
Third term = ( Second term × variable ) + 1 = ( 2 x 1 ) + 1 = 3
Similarly , we can calculate all others terms also.
Fourth term = ( Third term × variable ) + 1.5 = ( 3 × 1.5 ) + 1.5 = 6 ;
Fifth term = ( Fourth term × variable ) + 2 = ( 6 × 2 ) + 2 = 12 ; 12 is wrong. It should be 14.
Sixth term = ( Fifth term × variable ) + 2.5 = (14 × 2.5 ) + 2.5 = 37.5 ;
Seventh term = ( Sixth term × variable ) + 3 = ( 37.5 × 3 ) + 3 = 115.5
Hence, 12 is wrong. It should be 14.

Correct Answer: 229

Explanation:

The given series is in the below pattern,
First term = 2
Second term = First term + 1³
? Second term = 2 + 1³ = 3 ;
Third term = Second term + 2³
? Third term = 3 + 2³ = 11 ;
Similarly , we can find the all others terms also.
Fourth term = Third term + 4²
? Fourth term = 11 + 3³ = 38 ;
Fifth term = Fourth term + 5²
? Fifth term = 38 + 4³ = 102
Sixth term = Fifth term + 6²
? Sixth term = 102 + 5³ = 229 ; 229 is wrong. It should be 227.
Seventh term = Sixth term + 7²
? Seventh term = 227 + 6³ = 443
Hence, 229 is wrong. It should be 227.

Correct Answer: 347

Explanation:

From the given figure , we can see that
First term = 2807
Second term = ( First term - 7 ) ÷ 2 = 1400
Third term = ( Second term - 6 ) ÷ 2 = 697
? Second term = ( 2807 - 7 ) ÷ 2 = 1400 ;
? Third term = ( 1400 - 6 ) ÷ 2 = 697 ;
? Fourth term = ( 697 - 5 ) ÷ 2 = 347; 347 is wrong. It should be 346.
? Fifth term = ( 346 - 4 ) ÷ 2 = 171 ;
? Sixth term = ( 171 - 3 ) ÷ 2 = 84 ;
? Seventh term = ( 84 - 2 ) ÷ 2 = 41 ;
? Eighth term = ( 41 - 1 ) ÷ 2 = 20
Hence, 347 is wrong. It should be 346.