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.
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.
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.
None of these
The series is ;
+ 33, + 53, + 73, + 93, + 113, + 133, ............
The series is x 4 -1, x 4 - 2, x 4 - 3, x 4 - 4, ....,
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
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.
The given series is in the below pattern,
Next term = ( Previous term × 2 ) - 2
First term = 5
Second term = ( First term × 2 ) - 2
? Second term = ( 5 × 2 ) - 2 = 8 ;
Third term = ( Second term × 2 ) - 2
? Third term = ( 8 × 2 ) - 2 = 16; 16 is wrong. It should be 14.
Similarly , we can calculate all others terms also.
Fourth term = ( Third term × 2 ) - 2
? Fourth term = ( 14 × 2 ) - 2 = 26 ;
Fifth term = ( Fourth term × 2 ) - 2
? Fifth term = ( 26 × 2 ) - 2 = 50 ;
Sixth term = ( Third term × 2 ) - 2
? Sixth term = ( 50 × 2 ) - 2 = 98 ;
Seventh term = ( Sixth term × 2 ) - 2
? Seventh term = ( 98 × 2 ) - 2 = 194
Hence, 16 is wrong. It should be 14.
A × | 3 | × | 4 | = ? |
7 | 5 |
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