<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
70,400 people because 12% of 32,000=3840
So 3840x10=38400 and 38400+32000=70400 people
Answer:
I think it is C
Step-by-step explanation:
I hope it is right.
Answer:
y= -2x
Step-by-step explanation:
To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.
5x-10y=-12
-10y=-5x-12
y=1/2 x + 1.2
The slope is 1/2 and the slope of the new line will be -2 because the negative reciprocal create a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-8)=-2(x--4)
y-8=-2(x+4)
y-8=-2x -8
y= -2x +0
Answer:
Step-by-step explanation:
9