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
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.