Question

Every even positive integer is of the form (a) ___ and every positive odd integer is of the form (b) ___.
(x is any positive integer)

• A. (a) a=2x^3, (b) b=2x+2
• B. (a) a=2x^2, (b) b=2x+1
• C. (a) a=2x, (b) b=2x+1
• D. (a) a=x, (b) b=3x+1

Answer 1

The correct option is C

(a) a=2x, (b) b=2x+1

Every even positive integer is of form 2x
Let’s equate 2x for different values of ‘x’
x=1,2,3,4,5,6…
2x=2,4,6,8,10,12…….
From this we understand that 2x can be said as the general form for every even positive integer.

Every odd positive integer is of form 2x+1
Let’s equate 2x+1 for different values of ‘x’
x=0,1,2,3,4,5,6…
2x+1=1,3,5,7,9,11,13…….
From this we understand that 2x+1 can be said as the general form for every odd positive integer.