Answer:
Explicit: -2*2^(n-1)
Recursive: 2*aₙ₋₁
Step-by-step explanation:
To write a explicit formula for this geometric sequence you follow the following formula/template
Firstnumber*commonratio^(n-1)
Seeing that the common ratio is 2 we can start plugging numbers in and get
-2*2^(n-1)
For a recursive formula we follow the following template
common ratio * the n-1 term
So we could write this as
2*aₙ₋₁
Answer:
x=18 y=2.5
Step-by-step explanation:
Step 1- 11x+10=9x-26
-9x -9x
Step 2- 2x+10=-26
-10 -10
Step 3- 2x/2=36/2
Conclusion- x=16
Step 1- 7y+5=9y
-7y -7y
Step 2- 5/2=2y/2
Conclusion- y=2.5
Answer: The point (5,7) is on the line 5x+6y = 67
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Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
