Pattern is : the series is the combination of three series -each term is twice the preceding term.
(i) 1st, 4st, 7st term i. e 2,4,9,.......
(ii) 2st, 5st, 8st term i, e 3,6,12.....
(iii) 3st, 6st, 9st 4,8,16......
So, 9 is wrong.
Pattern is : + 6, + 12, + 24, + 48, +96, + 192
Pattern is : - 192, - 96, - 48, - 24, -12, - 6
Pattern is : x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4, ............
Pattern is x 2 + 1, x 3 + 1, x 2 + 1, x 3 + 1, ........
The series is x 2 - 2, x 2 - 2, x 2 - 2, x 2 - 2, ......
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
13 + 14 = 27
14 + 27 = 41
27 + 41 = 68
41 + 68 = 109
68 + 109 = 117
So, 45 is the wrong number in this series.
All nos, in the given series are squeres of odd nos, except 1296
1296 = (36)2
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.
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.
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