In an arithmetic sequence, the first term is 4, the fourth term is 19, and the nth term is 99. find the common difference and the number of terms n

common difference=5

number of term(n)=20

Step-by-step explanation:

a=4,

but T_{4} =19= a+3d

a+3d=19

4+3d=19

3d=19-4

3d=15

d=15/3

d=5

=a+(n-1)d

99=a+(n-1)d

99=4+(n-1)*5

99=4+5n-5

99=5n-1

5n-1=99

5n=99+1

5n=100

n=100/5

n=20

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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