Q.2 Use the given algebraic expression to complete the table of number patterns.


Answer :

(i) Given expression is 2n – 1
For n = 100,
2 × 100 – 1
= 200 – 1 = 199
(ii) Given expression is 3n + 2
For n = 5,
3 × 5 + 2
= 15 + 2 = 17
For n = 10,
3 × 10 + 2 = 30 + 2 = 32
For n = 100,
3 × 100 + 2 = 300 + 2 = 302
(iii) Given expression is 4n + 1
For n = 5, 4 × 5 + 1 = 20 + 1 = 21
For n = 100, 4 × 100 + 1 = 400 + 1 = 401
(iv) Given expression is 7n + 20
For n = 5, 7 × 5 + 20 = 35 + 20 = 55
For n = 10, 7 × 10 + 20 = 70 + 20 = 90
For n = 100, 7 × 100 + 20 = 700 + 20 = 720
(v) Given expression is \(n^2 + 1\)
For n = 5, \(5^2 + 1 \)= 25 + 1 = 26
For n = 10,\( 10^2 + 1 \)= 100 + 1 = 101

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