Write an explicit formula for an, the nth term of the sequence 11,2,-7
1 answer:
Answer:
= 20 - 9n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 2 - 11 = - 7 - 2 = - 9
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = - 9 , then
= 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n
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Answer:
See below :)
Step-by-step explanation:
The easiest way to graph this is to find the x-intercept and y-intercept,
y-intercept:
The y-intercept is extremely easy to find as it's just the "b" in "y = mx + b"
If there is no b, it's (0,0). If there is a b, its (0,b)
This is because the y-intercept is where the lines hits the y-axis so we know x must be 0. We can plug in x as 0 to find y:
y = m(0) + b
y = b
In this case, the y-intercept is (0,3) because the b in y = -8/3x + 3
x-intercept:
The x-intercept requires a little more work. It's the same as the y-intercept. The x-intercept is where the lines hits the x-axis so we know y must be 0. The x-intercept is (x,0)
We can use this to plug in y as 0:
0 = mx + b
mx = -b
Now we use this to find the the x-intercept:
0 = -8/3x + 3
8/3x = 3
Divide both sides by 8/3:
x = 3 * 3/8
x = 9/8
In this case, the x-intercept is (9/8,0)
Now we can use these points and connect a line to them and then the lines keeps going forever. Look at the picture I uploaded :)
