Show you solution. List the terms that complete a possible pattern in each of the following:

a)38,33,28,23,18,_,_,_
b)640,320,160,80,_,_,_
c)7,8,15,23,38,_,_,_

a) What number is subtracted from each number to get the next number?

b) What number is divided into each number to get the next number?

c)
7 + 8 = 15
8 + 15 = 23
23 + ? = 38

a) 5 is subtracted from each so, it should be 13,8,3

b)2 is divided into each number so, it should be 40,20,10
c)23+15=38
61,99,160 Not sure(?)

Right on all problems! :-)

a) To find the terms that complete the pattern, we need to observe the differences between consecutive terms. In this pattern, each term is decreasing by 5. So we can continue the pattern as follows:

38, 33, 28, 23, 18, 13, 8, 3

b) Similar to the previous pattern, we need to observe the differences between consecutive terms. In this pattern, each term is divided by 2. So we can continue the pattern as follows:

640, 320, 160, 80, 40, 20, 10

c) In this pattern, we need to look for a combination of addition and subtraction from the previous terms. Let's analyze the differences between consecutive terms:

8 - 7 = 1
15 - 8 = 7
23 - 15 = 8
38 - 23 = 15

We can see that there is an alternating pattern of adding and subtracting a number. So we can continue the pattern as follows:

7, 8, 15, 23, 38, 53, 45, 60