An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

the missing term of the sequence is - 103

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 221

d = 217 - 221 = 213 - 217 = - 4

n = 82

We want to determine the value of the 82nd term, T82. Therefore,

T82 = 221 - 4(82 - 1)

T82 = 221 - 4 × 81

T82 = 221 - 324

T82 = - 103

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)