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

S. No.	Expression	Terms
		1st	2nd	3rd	4th	5th	...	10th	...	100th	...
(i)	2n - 1	1	3	5	7	9	-	19	-	-	-
(ii)	3n + 2	5	8	11	14	-	-	-	-	-	-
(iii)	4n + 1	5	9	13	17	-	-	-	-	-	-
(iv)	7n + 20	27	34	41	48	-	-	-	-	-	-
(v)	n2  + 1	2	5	10	17	-	-	-	-	10001	-

(i) From the table for the given expression, (2n – 1)

we need to find 100^th term,

So n = 100

= (2 × 100) – 1

= 200 – 1

= 199

(ii) From the table for the given expression, (3n + 2)

we need to find 5^th term,

So, n = 5

= (3 × 5) + 2

= 15 + 2

= 17

Next, we need to find 10^th term,

So, n = 10

= (3 × 10) + 2

= 30 + 2

= 32

Next, we need to find 100^th term,

So, n = 100

= (3 × 100) + 2

= 300 + 2

= 302

(iii) From the table for the given expression, (4n + 1)

we need to find 5^th term,

So, n = 5

= (4 × 5) + 1

= 20 + 1

= 21

Next, we need to find 10^th term,

So, n = 10

= (4 × 10) + 1

= 40 + 1

= 41

Next, we need to find 100^th term,

So, n = 100

= (4 × 100) + 1

= 400 + 1

= 401

(iv) From the table for the given expression, (7n + 20)

we need to find 5^th term,

So, n = 5

= (7 × 5) + 20

= 35 + 20

= 55

Next, we need to find 10^th term,

So, n = 10

= (7 × 10) + 20

= 70 + 20

= 90

Next, we need to find 100^th term,

So, n = 100

= (7 × 100) + 20

= 700 + 20

= 720

(v) From the table for the given expression, (n² + 1)

we need to find 5^th term,

So, n = 5

= (5²) + 1

= 25+ 1

= 26

Next, we need to find 10^th term,

So, n = 10

= (10²) + 1

= 100 + 1

= 101

So the complete table is: