Question

Select the correct answer for each statement.

Answer 1

1.) Will yield consecutive odd integers.
k+10, k+12, k+14
or
k+2, k+3, k+4

The answer is k + 10, k +12 , k + 14

Because consecutive integers have difference of 2.

If k is odd, then k+10, k+12, and k+14 are consecutive odd integers.

For example, assume k = 1, then,

k+10=11
k+12=13
k+14=15

And 11, 13 and 15 are consecutive odd integers.

2.) Will yield consecutive integers.

k+1, k+2, k+3
or
k+6, k+8, k+10

The answer is k+1, k+2, k+3

Let k be any integer number, k+1, k+2, k+3 are consecutive integers.

For example, let k = 23

k+1=24
k+2=25
k+3=26

24,25, and 26 are consecutive integers.