Find a28 in the arithmetic sequence: 5.8, 3.5, 1.2, -1.1,

-56.3

Step-by-step explanation:

We don't have to much guessing because it tells us it is arithmetic which means it has a common difference.

That is a term minus it's previous will be the same.

In general:

with if you wanted the recursive form.

You can also find the explicit form which would be more helpful for our task of finding the 28th term.

is the explicit form where is the common difference and is the first term.

Inputting -2.3 for and 5.8 for :

Now the 28th term or can be found by replacing n with 28:

answer: 59

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi