We are given
arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103
so, first term is 124
u(1)= 124
now, we can find common difference



now, we can find kth term

now, we can plug values
and we get



u(k) must be negative
so,


now, we can solve for k


so, it's closest integer value is
..............Answer
First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.
Linear function has a form of,

Then calculate the slope <em>m</em> using the coordinates of two points. Let say <em>A(x1, y1)</em> and <em>B(x2, y2)</em>,

Now pick a point either <em>A</em> or <em>B</em> and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point <em>A</em>.

From here you solve the equation for n,

So you have slope <em>m</em> and variable <em>n</em> therefore you can write down the equation of the line,

Hope this helps.
r3t40
The standard equation of circle when center is (h,k) and radius is 'r'

h = 2 and k = - 5, radius = 16
So equation of the circle is given by


The denominator is 40
10-3=7 (number of students in the band who do not ride the bus)
7/40=0.175
0.174*100=17.5% chance
Hope this helps!