Question

A function is defined by the equation below. f(n)=8−3n f ( n ) = 8 − 3 n , where n=1,2,3,4... n = 1 , 2 , 3 , 4... What is the first term, a1 a 1 , and the common difference, d d , of the sequence generated by f(n) f ( n ) ?

Answer 1

HI,

first term=5

common difference=-3

Explanation:

`a_1=f(1)=8-3*1=5\\\\a_2=f(2)=8-3*2=2\\\\a_3=f(3)=8-3*3=-1\\\\First\ term\ is \ a_1=5\\\\Common\ difference=a_2-a_1=2-5=-3`