After the third month of a 12 month loan,

the numerator is: {(n + ) + (n + ) + (n + )} =

, and

the denominator is: {(n) + (n + 1) + ... + (n + )} =

Therefore, the fraction is numerator/denominator (to the nearest tenth) =

The Rule of 78 tells us to write a sequence using the numerical equivalents for the months of the year. In set notation we would write {1, 2, 3, , 12}. We could also use algebraic notation and write {n, n + 1, ..., n + 11} where n = 1. Clearly this sequence has a beginning and an end so it is finite.

Next, the Rule of 78 tells us to write a series. A series is a summation of quantities based upon a sequence. In this instance if we add the all the individual terms specified by {n, n + 1, ..., n + 11}, the sum is 78. Thus, the name is the rule of 78.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

35-60 students are taking math.

step-by-step explanation: