Respuesta :

Answer:

f(76)=167

Step-by-step explanation:

17,19,21

You're adding 2 every time.

f(76)= 17+2(n-1)

f(76)= 17+2(76-1)

f(76)= 17+2(75)

f(76)= 17+150

f(76)= 167

The 76th term of the arithmetic sequence 17, 19, 21 is 167.

Arithmetic progression

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. It is given by:

[tex]a_n=a_1+(n-1)d\\\\a_1=first\ term, d = common\ difference[/tex]

Given 17, 19, 21:

a = 17, d = 19 - 17 = 2

Hence:

[tex]a_{76}=17+(76-1)2=167[/tex]

The 76th term of the arithmetic sequence 17, 19, 21 is 167.

Find out more on Arithmetic progression at: https://brainly.com/question/6561461