2.2k views
21 votes
An = 3.5 +2.8 (n-1)
f(n) =

1 Answer

8 votes

Answer:

f(n) = 2.8n + 0.7

Explanation:

The form of the linear function is f(x) = m x + b, where

  • x is the input
  • f(x) is the output

Let us solve the question

∵ The rule of the arithmetic sequence is a
_(n) = 3.5 + 2.8(n - 1), where

  • a
    _(n) is the nth term ⇒ output
  • n is the number of the term ⇒ input

→ To write it as a function replace a
_(n) by f(n)

∵ a
_(n) = f(n)

f(n) = 3.5 + 2.8(n - 1)

→ Simplify the right side to make it in the form of the function above

∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)

→ Remember (+)(-) = (-)

f(n) = 3.5 + 2.8n - 2.8

→ Add the like terms in the right side

∵ f(n) = 2.8n + (3.5 - 2.8)

f(n) = 2.8n + 0.7

User Erez Hochman
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories