The price of a notebook has risen to $3.65 today. Yesterday's price was $3.15 . Find the percentage increase. Round your answer
1 answer:
There is a 15.9% increase in the price.
Step-by-step explanation:
New price = $3.65
Old price = $3.15
Difference = New price - Old price
Difference = 3.65 - 3.15 = $0.50
The positive sign indicates the increase
Rounding off to nearest tenth
Percent increase = 15.9%
There is a 15.9% increase in the price.
Keywords: increase, percentage
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Answer: = 3 ;
=
+ 2.5, where k ≥ 2
Step-by-step explanation:
To define a sequence recursively, we must state the first term and then state a rule for how each successive term can be described from the one before it. For instance, suppose I had the sequence 5, 8, 11, 14, ...
The first term would be = 5
Each successive term where subscript k = 2 for the second term, 3 for the third, and so on, would be =
+ 3
So, for my example, the recursive definition for that sequence would be
= 5 ;
=
+ 3, where k ≥ 2
In the exercise you have, we go up 2 terms from the first to the third and the value goes up 5 units. We go up 4 terms from the third term to the 7th, we go up 10 units. Apparently, we go up 2.5 units in value as we go from one term to the very next one.
So ...
= 3 ;
=
+ 2.5, where k ≥ 2
This happens to be an arithmetic sequence, because we go up the same amount from one term to the next, but please do not assume that is required for creating a recursive definition. It is not.
I hope this helps.