9514 1404 393
Answer:
3 < b-a < 7
Step-by-step explanation:
The maximum difference will occur when the smallest 'a' value is subtracted from the largest 'b' value:
9 -2 = 7
The minimum difference will occur when the largest 'a' value is subtracted from the smallest 'b' value:
7 -4 = 3
So, the possible range of values of b-a is ...
3 < b-a < 7
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36 divided by 6 is like sharing 36 orranges among 6 people
a a a a a a|---------------------------1st Person
a a a a a a|---------------------------2nd Person
a a a a a a|---------------------------3rd Person
a a a a a a|---------------------------4th Person
a a a a a a|---------------------------5th Person
a a a a a a|---------------------------6th Person
Each person receives 6 oranges evenly so 36/6 = 6
I used this strategy because it is the easiest to understand
So have the sequence:

To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula:

where

is the common ratio

is the current term in the sequence

is the previous term in the sequence
In other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:
For

and

:


For

and

:


For

and

:


As you can see, we have a common ratio!
We can conclude that our sequence is a geometric sequence and its common ratio is
Answer:
48
Step-by-step explanation: