Question

Select the correct answer for each statement Will yield consecutive odd integers Will yield consecutive integers

Answer 1

Complete question :

Select the correct answer for each statement.

1.) Will yield consecutive odd integers.

k+10, k+12, k+14

or

k+2, k+3, k+4

2.) Will yield consecutive integers.

k+1, k+2, k+3

or

k+6, k+8, k+10

Answer:

Consecutive odd integer : k+10, k+12, k+14

Consecutive integers : k+1, k+2, k+3

Step-by-step explanation:

Odd integers are numbers which aren't divisible by 2 ; such as : 1, 3, 5, 7, 9, 11,... The series continues in that manner. Consecutive odd integers have a common difference of 2, just as indicated in the instance given ; 1, 3, 5, 7, 9, 11,...

Therefore a series with a difference of 2 is more likely to be one representing consecutive odd integers.

2.) for concmsecutive integers :

Consecutive integers have a common difference of 1 between each successive integer ;

Hence, k+1, k+2, k+3 will most likely represent consecutive integers since the value of k is the same.