Problem
Solution
Part a
-1 1/2 , -7/8 , -1/4 , 3/8, 1,....
We can rewrite the sequence like this:
-3/2, -7/8, -1/4, 3/8, 1,...
For this case the difference between consecutive terms is:
-7/8 -( -3/2) = -7/8 +3/2= 5/8
And we can find the next 3 terms like this:
1+ 5/8= 13/8
13/8 + 5/8 = 18/8
18/8 + 5/8 = 23/8
Answer: 13/8, 18/8, 23/8
Part b
1 1/3 , -2/3, 1/3, -1/6, 1/12
We can rewrite the sequence like this:
4/3, -2/3, 1/3, -1/6, 1/12,
We can see that each term is divided by 2 and we can do this:
1/12 /(-2)= -1/24
1/24 /(2)= 1/48
1/48 /(-2) = -1/96
The answer for part b is:
-1/24, 1/48, -1/96