Common Difference

What 2 numbers should be placed in the blanks below so that the difference between consecutive numbers
is the same?

17, __, __, 41

A.)  23, 29
B.)  24, 34
C.)  25, 33
D.)  26, 35
E.)  27, 31

---

You might want to use trial and error with the answers, or solve it mathematically.

Since there are 2 blanks, and essentially 3 sections between 17 and 41, find the difference between 17 and 41 and then split it 3 ways.

41 - 17 = 24   {found the distance between 17 and 41}

24 ÷ 3 = 8   {split 24 three ways}

Therefore, there is a difference of 8 between the numbers.

17, 25, 33, 41   {the difference is 8 between consecutive numbers}

C.)  25, 33

Ask Algebra House
​