##### Use the given algebraic expression to complete the table of number patterns.S. No.ExpressionTerms1st2nd3rd4th5th…10th…100th…(i)2n-113579-19--(ii)3n+2581114-----(iii)4n+1591317-----(iv)7n+2027344148-----(v)n2+1251017----10001

(i)Expression = 2n - 1

100th term (i.e. n = 100)

= 2(100) - 1

= 200 - 1

= 199

(ii)Expression = 3n + 2

5th term( i.e. n = 5)

= 3(5) + 2

= 15 + 2

= 17

10th terms(i.e.. n =10)

=3(10) + 2

=30 + 2

= 32

100th term( i.e. n = 100)

=3(100) + 2

= 300 + 2

= 302

(iii)Expression = 4n + 1

5th term( i.e. n = 5)

= 4(5) + 1

= 20 + 1

= 21

10th terms(i.e.. n =10)

=4(10) + 1

=40 + 1

= 41

100th term( i.e. n = 100)

=4(100) + 1

= 400 + 1

= 401

(iv)Expression = 7n + 20

5th term( i.e. n = 5)

= 7(5) + 20

= 35 + 20

= 55

10th terms(i.e.. n =10)

=7(10) + 20

=70 + 20

= 90

100th term( i.e. n = 100)

=7(100) + 20

= 700 + 20

= 720

(ii)Expression = n2 + 1

5th term( i.e. n = 5)

= (5)2 + 1

= 25 + 1

= 26

10th terms(i.e.. n =10)

=(10)2 + 1

=100 + 1

= 101

So the Table is

 S. No. Expression Terms 1st 2nd 3rd 4th 5th … 10th … 100th … (i) 2n-1 1 3 5 7 9 - 19 - 199 (ii) 3n+2 5 8 11 14 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 - 10001

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