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

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}

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**