Table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided. input1234n
output10131619

y = 3n + 7

Step-by-step explanation:

We can calculate a slope for the line defined by these points.  (We are told it is linear, so we can use y = mx + b format, where m is the slope and b the y-intercept.)

Slope:  I'll pick points (1,10) and (4,19) for calculating the slope:

Rise = (19-10) = 9

Run = (4-1) = 3

Rise/Run, or slope, m = (9/3, or 3

The equation becomes y = 3x + b

We can calculate b by using one of the given points.  I'll pick (1,10):

y = 3x + b

10 = 3*(1) + b

b = 7

The equation is y = 3x + 7  It works for the other points (try it).

We can use n for x:

y = 3n + 7

Pick any n, and you'll have the correct outcome.

y = 3n + 7

n | y

1  | 10

2 | 13

3 | 16

4 | 19

slope - (1, 10) ; (2, 13)

m = y1 - y2

      n1 - n2

m =  10 - 13

       1  -  2

m = 3

Slope Intercept Form Equation -

y - y1 = m(n - x1)

y - 10 = 3(n - 1)

y - 10 = 3n - 3

   y  = 3n - 7

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

step-by-step explanation: