Question

use the given algebraic expressions to complete the table of numbers patterns ​

Answer 1

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i) Given expression is 2n\ -\ 1

For n = 100, 2 x 100 - 1

= 200 - 1

= 199

ii) Given expression is 3n\ +\ 2

For n = 5, 3 x 5 + 2

= 15+2

=17

For n = 10, 3 x 10 + 2

= 30 + 2

= 32

For n = 100, 3 x 100 + 2

= 100 + 2

= 302

iii) Given expression is 7n\ +\ 20

For n = 5, 4 x 5 + 1

= 20 + 1

= 21

For n = 10, 4 x 10 + 1

= 40 + 1

= 41

For n = 100, 4 x 100 + 1

= 400 + 1

= 401

iv) Given expression is 7n\ +\ 20

= For n = 5, 7 x 5 + 20

= 35 + 20

= 55

For n = 10, 7 x 10 + 20

= 70 + 20

= 90

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

Answer 2

Given expression is 2n\ -\ 1

For n = 100, 2 x 100 - 1

= 200 - 1

= 199

ii) Given expression is 3n\ +\ 2

For n = 5, 3 x 5 + 2

= 15+2

=17

For n = 10, 3 x 10 + 2

= 30 + 2

= 32

For n = 100, 3 x 100 + 2

= 100 + 2

= 302