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vimala jeyakumar
vimala jeyakumar

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Number Series

Task:

1 . Look at this series: 58, 52, 46, 40, 34, ... What number should come next?
26

28

30

32
Ans:
The series is decreasing by 6 each time:

58 - 6 = 52
52 - 6 = 46
46 - 6 = 40
40 - 6 = 34

So, continuing the pattern, 34 - 6 = 28.

The next number in the series is 28.

Program:

package day1if;

public class Numberseries1 
{
public static void main (String args[])
{
    int no = 58;
    int count = 1;
    while( count<=5)
    {
        System.out.println(no);
        no = no-6;
        count = count+ 1;

    }
}
}

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output:
58
52
46
40
34
28

2.Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
7

10

14

15
Ans:
Let’s look at the pattern:

3 → 4 (add 1)
4 → 7 (add 3)
7 → 8 (add 1)
8 → 11 (add 3)
11 → 12 (add 1)

It looks like the pattern alternates between adding 1 and adding 3.

Following this pattern, the next step is to add 3 to 12, so:

12 + 3 = 15

The next number in the series is 15.

Program:

package day1if;

public class Numberseries2 {

    public static void main(String[] args) {
        int no = 3;
        int count =1;
        while( count<=7)
        {
            System.out.println(no);
            no = no+1;
            System.out.println(no);
            no = no+3;
            count = count+2;
        }
    }
}

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output:
3
4
7
8
11
12
15
16

3.Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
15

14

13

12
Ans:
Let’s examine the pattern:

31 → 29 (subtract 2)
29 → 24 (subtract 5)
24 → 22 (subtract 2)
22 → 17 (subtract 5)

The pattern alternates between subtracting 2 and subtracting 5.

So, following this pattern, the next step is to subtract 2 from 17:

17 - 2 = 15

The next number in the series is 15.

Program:

package day1if;

public class Numberseries3 {

    public static void main(String[] args) 
    {

        int no = 31;
        int count =0;
        while( count<=5)
        {
            System.out.println(no);
            no = no-2;
            System.out.println(no);
            no = no-5;
            count = count+2;
        }


    }

}
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output:
31
29
24
22
17
15

4.Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
4.2

4.4

4.7

5.1
Ans:
Let’s examine the differences between the numbers in the series:

2.3 - 1.5 = 0.8
3.1 - 2.3 = 0.8
3.9 - 3.1 = 0.8

It looks like the series increases by 0.8 each time. So, to find the next number:

3.9 + 0.8 = 4.7

The next number in the series is 4.7.

Program:

package day1if;

public class Numberseries4 {

    public static void main(String[] args)
    {
        float no = 1.5f;
        int count  = 1;
        while (count<6)
        {
            System.out.println(no);
             no = no + 0.8f; 
             count = count+1;
        }
    }

}
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Output:
1.5
2.3
3.1
3.8999999
4.7

5.Look at this series: 201, 202, 204, 207, ... What number should come next?
205

208

210

211
Ans:
Let’s look at the differences between the numbers:

202 - 201 = 1
204 - 202 = 2
207 - 204 = 3

It seems the series is increasing by 1, 2, 3, and so on.

Following this pattern, the next difference should be 4. So:

207 + 4 = 211

The next number in the series is 211.

Program:

package day1if;

public class Numberseries5 
{
    public static void main(String[] args)
    {
        int no = 201;
        int count = 1;
        while( count<6)
        {
            System.out.println(no);
            no = no+1;
            System.out.println(no);
            no = no+2;
            System.out.println(no);
            no=no+3;
            System.out.println(no);
            no=no+4;
            count = count+4;
        }
    }

}


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Output:
204
207
211
212
214
217

6.Look at this series: 2, 6, 18, 54, ... What number should come next?
108

148

162

216
Ans:
The pattern in the series appears to be multiplying each term by 3:

2 × 3 = 6
6 × 3 = 18
18 × 3 = 54

So, to find the next number, we multiply 54 by 3:

54 × 3 = 162

Thus, the next number in the series is 162.

Program:

package day1if;

public class Numberseries6 
{
    public static void main(String[] args)
    {
        int no =2;
        int count = 1;
        while( count<6)
        {
            System.out.println(no);
            no = no*3;
            count = count+1;
        }

}
    }

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Output:
2
6
18
54
162

7.Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
3

3.3

3.5

3.6
Ans:
The pattern in this series appears to be decreasing by 0.4 each time:

5.2 - 0.4 = 4.8
4.8 - 0.4 = 4.4
4.4 - 0.4 = 4

So, to find the next number, we subtract 0.4 from 4:

4 - 0.4 = 3.6

Thus, the next number in the series is 3.6.

Program:

package day1if;

public class Numberseries7
{
    public static void main(String[] args)
    {
        float no =5.2f;
        int count = 1;
        while( count<6)
        {
            System.out.println(no);
            no = no-0.4f;
            count = count+1;
        }

}
}
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Output:
5.2
4.7999997
4.3999996
3.9999995
3.5999994

8.Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
11

12

13

14
Ans:
The pattern in this series is increasing by 2 each time:

2 + 2 = 4
4 + 2 = 6
6 + 2 = 8
8 + 2 = 10

So, to find the next number, we add 2 to 10:

10 + 2 = 12

Thus, the next number in the series is 12.

Program:

package day1if;

public class Numberseries8 {

    public static void main(String[] args) 
    {
        int no =2;
        int count = 0;
        while( count<6)
        {
            System.out.println(no);
            no = no+2;
            count = count+1;
        }

    }

}

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Output:
2
4
6
8
10
12

9.Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
20

22

23

26
Ans:
The pattern in this series alternates between subtracting 2 and subtracting 4:

36 - 2 = 34
34 - 4 = 30

30 - 2 = 28
28 - 4 = 24

To find the next number, we subtract 2 from 24:

24 - 2 = 22

Thus, the next number in the series is 22.

Program:

package day1if;

public class Numberseries9 {

    public static void main(String[] args)
    {
        int no =36;
        int count = 0;
        while( count<6)
        {
            System.out.println(no);
            no = no-2;
            System.out.println(no);
            no = no-4;
            count = count+2;
        }



    }

}

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Output:
36
34
30
28
24
22

10.Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
22

24

25

26

Ans:
The pattern in this series alternates between subtracting 1 and adding 2:

22 - 1 = 21
21 + 2 = 23
23 - 1 = 22
22 + 2 = 24
24 - 1 = 23

So, the next step should be adding 2 to 23:

23 + 2 = 25

Thus, the next number in the series is 25.

Program:

package day1if;

public class Numberseries10 
{

    public static void main(String[] args) 
    {
        int no =22;
        int count = 0;
        while( count<7)
        {
            System.out.println(no);
            no = no-1;
            System.out.println(no);
            no = no+2;
            count = count+2;
        }


    }

}

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Output:
22
21
23
22
24
23
25
24

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