<span>The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?
<span>A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
</span><span>B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
</span><span>C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
</span><span>D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.
</span></span>
Answer:
D. Zero
Step-by-step explanation:
A solution is formed when the lines intersect at a
point. The coordinates will then be the solution.
In the diagram shown, the line and curve does not intersect at all so there is no solution to the curve.
We can write this in math as x+y+z=104, x=y-6, and z=3y
Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.
y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.
Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.
The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.
The third equation z = 3y can be written as z = 3(22) or z = 66.
Our three numbers are 16, 22, and 66. Hope this helps you!
