(6m-3)2 = 4-2(m+1)
12m-6 = 4-2m-2
10m-6 = 4-2
10m = 4-2+6
10m = 8
M = .8
Hopefully the math terms won't confuse anyone.
So in the series, a_6 = 9 and a_8 = 15. Since it's an arithmetic sequence, all the terms in the series can be represented as:
a_n = a_0 + n * k
where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.
a_6 = a_0 + 6 * k
a_8 = a_0 + 8 * k
solving this system gives you that
k = 3 and a_0 = -9
for any term n for this arithmetic sequence,
a_n = -9 + 3 * k
Answer:
Step-by-step explanation:
To find the inverse function, the first step we do is change f(x) to Y. So now, we have
y=2x+1
Now that we have this function, we simply flip x and y. When we do that, we get
x=2y+1
Now that we have this function, we just solve for Y. We do that by bring 1 to the other side by subtracting it from both sides, then dividing both sides by 2.
x-1=2y+1-1
x-1=2y
(x-1)/2=2y/2
(x-1)/2=y
So, our inverse function is:
y=(x-1)/2, or y=x/2 - 1/2
Hope I helped!
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