(100 POINTS) Amanda, Lisa, and Raquel together sold 54 tickets for the school play. Amanda sold 22 tickets and Lisa sold 14 tick
2 answers:
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Answer:
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.
- The dimensions of the rectangular museum are: 30 ft by 10 ft.
- The combined area of the display and the roped-off area is 800 ft².
2. The area of the rectangular museum can be calculated with:
Where is the lenght and
is the width.
You have that the lenght and the width in feet are:
3. Let's call the width of the roped-off area. Then, the combined area is:
Where
4. Substitute values and simplify. Then:
Given:
The given arithmetic sequence is:
To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,
Here, the first term is -3. So, .
The common difference is:
The recursive formula of an arithmetic sequence is:
Where, d is the common difference.
Putting , we get
Therefore, the recursive formula of the given arithmetic sequence is , where
.