Write an explicit formula for an, the nth term of the sequence 15, 7,-1,...

aₙ = a₁ - 8 x (n-1)

Step-by-step explanation:

a₁ = 15

a₂ = 7 = a₁ - 8 x 1

a₃ = -1 = a₁ - 8 x 2

aₙ = a₁ - 8 x (n-1)

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}