Find an explicit formula for the following sequence, an which starts with a1=2/3. 2/3,3/4,4/5,5/6,…
1 answer:
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<em>Complete Question:</em>
<em>Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen. </em>
<em>A) what output does the rule give when the input is (-6,0)? </em>
<em>B)What output does the rule give when the input is (3,-4)? </em>
<em>C) Is the rule a function? Explain why it is or why it is not </em>
Answer:
a. The output is (-9,4)
b. The output is (0,0)
c. See Explanation
Step-by-step explanation:
Given
Rule: (x,y)->(x - 3, y + 4)
Solving (a):
Inputs:
The outputs is as follows;
Hence:
The output is (-9,4)
Solving (b):
Inputs:
The outputs is as follows;
Hence:
The output is (0,0)
Solving (c):
The function is a rule and the rule is that:
It shifts the graph left by 3 units and up by 4 units