a) Fill in the blanks to show what the next three numbers are in the following sequence.

28 , 37 , 46 , 55 , 64 ,

b) Is the sequence arithmetic, geometric or neither?

keep adding 9

what does that tell you?

a) The pattern in the sequence is that each number is obtained by adding 9 to the previous number. Therefore, the next three numbers would be: 73, 82, 91.

b) The sequence is arithmetic because there is a common difference (9) between each consecutive term.

a) To find the pattern in the sequence, we need to look at the differences between consecutive terms. Let's calculate the differences:

37 - 28 = 9
46 - 37 = 9
55 - 46 = 9
64 - 55 = 9

We can observe that the differences between each pair of consecutive terms are all 9. Therefore, we can continue the sequence by adding 9 to the last number:

64 + 9 = 73
73 + 9 = 82
82 + 9 = 91

So, the next three numbers in the sequence are 73, 82, and 91.

b) The sequence is arithmetic because the differences between consecutive terms are constant. In this case, the common difference is 9.