Register
If f(1) = 1 and f(n) = 5f(n-1) + 4 then find the value of f(5).
12.2k views
3 votes
If f(1) = 1 and f(n) = 5f(n-1) + 4 then find the value of f(5).

User Kartik Shandilya
by
4.2k points

2 Answers

6 votes
  • f(n)=5f(n-1)+4
  • f(2)=5f1+4=5+4=9
  • f(3)=5f2+4=45+4=49
  • f(4)=5f3+4=245+4=249
  • f(5)=5f_4+4=1245+4=1249
User Charliemops
by
4.2k points
7 votes

Answer:


f(5)=1249

Explanation:

Given:


  • f(1)=1

  • f(n) = 5f(n-1)+4


\implies f(2) = 5f(1)+4=5(1)+4=9


\implies f(3) = 5f(2)+4=5(9)+4=49


\implies f(4) = 5f(3)+4=5(49)+4=249


\implies f(5) = 5f(4)+4=5(249)+4=1249

User Munish Goyal
by
4.2k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.3m questions

5.6m answers

Other Questions

Before beginning voice lessons, Aubrey already knew how to sing 357 pieces, and she expects to learn 2 new pieces during each week of lessons. After 78 weeks of voice lessons, how many pieces will Aubrey
Can someone help me plz I have to Turn 27/9 in simplest
What value of x makes the following true? 2(x + 10) = 4( 2x - 1)
1 divided by 1/5????????
The endpoints of line AB are A(−9,−1) and B(−3,7). Find the coordinates of the midpoint M.
Link Copied!