Question

Select the correct answer for each statement.

will yield consecutive odd integers:
Possible answers: k+10, k+12, k+14 or k+2, k+3, k+4 
will yield consecutive integers:
Possible answers: k+1, k+2, k+3 or k+6, k+8, k+10

Answer 1

the k+1,k+2,k+3 or k+6,k+8,k+10 is the consecutive odd integers.vise versa

Answer 2

k + 10 , k + 12 , k + 14 is correct statement for 1st.

k + 1 , k + 2 , k + 3 is correct statement for 2nd.

Explanation:

Part 1).

We need to find statement which yield consecutive off integers.

k + 2 , k + 3 , k + 4 is incorrect as this will give consecutive integers.

We know that Consecutive odd integers have difference of 2.

So, k + 10 , k + 12 , k + 14 is correct statement.

Part 2).

We need to find statement which yield consecutive integers.

k + 6 , k + 8 , k + 10 is incorrect as this will give consecutive odd integers or even integers.

We know that Consecutive integers have difference of 1.

So, k + 1 , k + 2 , k + 3 is correct statement.