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Use the given algebraic expression to complete the table of number patterns.

S. No

Expression

Terms

1 st

2 nd

3 rd

4 th

5 th

…

10 th

…

100 th

…

(i)

2n − 1

1

3

5

7

9

-

19

-

-

-

(ii)

3n + 2

2

5

8

11

-

-

-

-

-

-

(iii)

4n + 1

5

9

13

17

-

-

-

-

-

-

(iv)

7n + 20

27

34

41

48

-

-

-

-

-

-

(v)

n 2 + 1

2

5

10

17

-

-

-

-

10, 001

-

The given table can be completed as follows.

S.No.

Expression

Terms

1st

2nd

3rd

4th

5th

…

10th

…

100th

…

(i)

2n − 1

1

3

5

7

9

-

19

-

199

-

(ii)

3n + 2

2

5

8

11

17

-

32

-

302

-

(iii)

4n + 1

5

9

13

17

21

-

41

-

401

-

(iv)

7n + 20

27

34

41

48

55

-

90

-

720

-

(v)

n2 + 1

2

5

10

17

26

-

101

-

10,001-

-

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