The series is x 2 - 2, x 2 - 2, x 2 - 2, x 2 - 2, ......
(2 - 1) x 7 = 7; (7 - 2) x 6 = 30; (30 - 3) x 5 = 135; (135 - 4) x 4 = 524;
(524 - 5) x 3 = 1557; (1557 - 6) x 2 = 3102
The series is x 2 + 1, x 2 + 2, x 2 + 3, x 2 + 4, x 2 + 5
The series is 18 +12 = 19; 19 + 22 = 23; 23 + 32 = 32;
32 + 42 = 48; 48 + 52 = 73 + 62 = 109
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
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
Pattern is x 2 + 1, x 3 + 1, x 2 + 1, x 3 + 1, ........
Pattern is : x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4, ............
Pattern is : - 192, - 96, - 48, - 24, -12, - 6
Pattern is : + 6, + 12, + 24, + 48, +96, + 192
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.
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