SOLUTION: A table of values of a linear function is shown below. Find the output when the input is n input 1 2 3 4 n output -4 -5 -6 -7

Algebra ->  Equations -> SOLUTION: A table of values of a linear function is shown below. Find the output when the input is n input 1 2 3 4 n output -4 -5 -6 -7       Log On


   

Question 1139760: A table of values of a linear function is shown below. Find the output when the input is n
input 1 2 3 4 n
output -4 -5 -6 -7
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
For n = 1, 2, 3, 4 the sequence is -4, -5, -6, -7.


It is arithmetic progression with the first term -4 and the common difference of -1.


The general formula for the n-th term is 



    a%5Bn%5D = -4 + (n-1)*(-1) = -4 - (n-1) = -4 - n + 1 = -3 - n,  n = 1, 2 , 3, 4 . . . 


ANSWER.  a%5Bn%5D = -3 - n,  n = 1, 2, 3, 4, . . .