Solve the following series what number should come next

In below series what number should come next?

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1)  2, 1, (1/2), (1/4), ?
Answer 1)   2, 1, (1/2), (1/4), (1/8)
Process:
1/2 in 2 = 1
1/2 in 1 = 1/2
1/2 in 1/2 = 1/4
1/2 in 1/4 = 1/8
So the next number is (1/8).

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2)  7, 10, 8, 11, 9, 12, ?
Answer 2)  7, 10, 8, 11, 9, 12, 10
Process:
7+3=10
10–2=8
8+3=11
11–2=9
9+3=12
12–2=10
So the next number is 10.

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3) 36, 34, 30, 28, 24 , ?
Answer 3)   36, 34, 30, 28, 24 , 22
Process:
Now numbering to get a clear idea of odd and even position.
1,2,3,4,5
Both at the even and odd positions the difference between the numbers is 6.
Like between first and third position
36–30 = 6
Similarly for second and fourth position
34–28 = 6
So for the next position let the number be x and it is even position.
x = 28–6 = 22
So the next number is 22.

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4) 22, 21, 23, 22, 24, 23, ?
Answer 4) 22, 21, 23, 22, 24, 23, 25
Process:
sequence is -1 +2 -1 +2 -1 +2 , altenatively the next element value is decrement by 1 and updated value is incremented by 2
So the next number is 25.

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5) 21, 9, 21, 11, 21, 13, 21, ?
Answer: 5) 21, 9, 21, 11, 21, 13, 21, 15
Process:
21 , 21 , 21 , 21 , ,...series (1)

9 , 11 , 13 , 15 , ,...series(2)
series(2) increases by 2, beginning with the number 9 by mixing we get answer.
So the next number is 15.

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6)  58, 52, 46, 40, 34, ?
Answer 6) 58, 52, 46, 40, 34, 28
Process:
This is a simple subtraction series. Each number is 6 less than the previous number.
So the next number is 28.

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7) 3, 4, 7, 8, 11, 12, ?
Answer 7) 3, 4, 7, 8, 11, 12, 15
Process:
Form differences between two consecutive numbers in the sequence as follows:
4 - 3 = 1
7 - 4 = 3
8 - 7 = 1
11 - 8 = 3
12 - 11 = 1
x - 12 = 3
x = 12 +3
x= 15
So the next number is 15.

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8 ) 31, 29, 24, 22, 17, ?
Answer 8 ) 31, 29, 24, 22, 17, 15
Process:
31–2=29,
29–5=24,
24–2=22,
22–5=17,
17–2=15,

So the next number is 15.

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9)  14, 28, 20, 40, 32, 64, ?
Answer 9)  14, 28, 20, 40, 32, 64, 56
Process:
14
28 (14*2)
20(28–8)
40(20*2)
32(40–8)
64(32*2)
56(64–8)

So the next number is 56.

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10) 201, 202, 204, 207, ?
Answer 10) 201, 202, 204, 207, 211
Process:
In this addition series,
 1 is added to the first number;
 2 is added to the second number;
3 is added to the third number;
 4 is added to the fourth number; and go on.

201

202 = 201 + 1

204 = 202 + 2

207 = 204 + 3

So, the next number in the series be

= 207 + 4

= 211.

So the next number is 211.

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