Answer:
-2 - 5n
Step-by-step explanation:
-7, -12, -17, -22, -27.....
Arithmetic Sequence
first term a = -7
difference = d = -12 - (-7) = -12 + 7 = (-5)
nth term = a + (n-1)d
= -7 + (n-1)*(-5)
= -7 + (-5)*n -1 * (-5)
= -7 - 5n + 5
= -2 - 5n
Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
Answer:
Domain is all the possible x-values that can be plugged in and range is all the possible y-values that can be outputs. f(x)=1x can have any number as an input except for zero. If we plug in zero for x , then we would be dividing by zero which is impossible. Thus the domain is all real numbers except for zero.
Step-by-step explanation:
Answer:
h = 7 + 6x
Step-by-step explanation:
Since we are trying to find the height of the tree, we put h on the left side of the equation. Since the tree is 7ft tall at the moment, we write 7ft on the right side of the equation. Knowing that the tree grows 6 inches each year (x) we write 6x on the right side of the equation.
