Q. 24.5( 52 Votes )

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










Answer :

(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


(v)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





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