Ask Question
13 April, 20:04

A sequence is defined by the recursive function f (n + 1) = f (n) - 2. If f (1) = 10, what is f (3) ?

+3
Answers (1)
  1. 13 April, 20:05
    0
    6

    Step-by-step explanation:

    Lets see what f (2) is.

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

    We are going to replace n with 1 to get f (2):

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

    f (2) = f (1) - 2

    Since f (1) = 10 we can rewrite as:

    f (2) = 10-2

    f (2) = 8

    We want to find f (3) so now we will replace n with 2:

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

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

    f (3) = f (2) - 2

    f (3) = 8-2

    f (3) = 6.

    So f (3) is 6.

    Another way:

    f (n + 1) = f (n) - 2 says you can find the next term by taking previous and minus 2 from it.

    So if we start with first term, f (1), is 10.

    Then second term, f (2), is 10-2=8.

    The third term, f (3), is 8-2=6.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A sequence is defined by the recursive function f (n + 1) = f (n) - 2. If f (1) = 10, what is f (3) ? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers