## Results

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Solution:

12 = 1.
32 = 9.
52 = 25.
72 = 49.
92 = 81.
112 = 121.

### #2. 4, 7, 12, 19, 28, ?

Solution:

First term,
4
Second,
4 3 = 7.
Third,
7 5 = 12.
Fourth,
12 7 = 19.
Fifth,
19 9 = 28.
Therefore,
28 11 = 39 will be the required term.

### #3. 6, 11, 21, 36, 56, ?

Solution: 6 ( 5)→ 11 ( 10)→ 21 ( 15)→ 36 ( 20)→ 56 ( 25) → 81.

### #4. 10, 100, 200, 310, ?

Solution:

1st term : 10
2nd term : 100 = 10 90
3rd term : 200 = 100 100
4th term : 310 = 200 110
5th Term: 430 = 310 120

### #5. 8, 28, 116, 584, ?

Solution: (8 *3) 4 = 28 (28 *4) 4 = 116 (116 *5) 4 = 584 (584 *6) 4 = 3508.

### #6. 3, 7, 23, 95, ?

Solution:

1st number = 3
2nd number = 3 x 2 1 = 7
3rd number = 7 x 3 2 = 23
4th number = 23 x 4 3 = 95
5th number = 95 x 5 4 = 479

### #7. 7, 26, 63, 124, 215, 342, ?

Solution:

The terms are given in a series
(23 -1) = 7
(33 -1) = 26
(43 -1) = 63
(53 -1) = 124
(63 -1) = 215
(73 -1) = 342
So, the missing term is,
(83 -1) = 511.

### #8. 165, 195, 255, 285, 345, ?

Solution:

Solution 1: Each number of given series is 15 multiplied by a prime number.
15*11, 15*13, 15*17, 15*19, 15*23.
So, Missing number is
15*29 = 435.

Solution 2: This pattern is 30 and then 60 also follow for the give series.
165 30=195,
195 60=255,
255 30=285,
285 60=345,
345 30=375