Register
If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?
41.6k views
2 votes
If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?

User Azfar
by
8.6k points

1 Answer

2 votes
f(4) = f(3+1) = -2f(3) [Using f(n+1) = -2f(n)]

Keep using f(n+1):

-2f(3) = -2f(2+1) = -2[-2f(2)] = 4f(2)

Again:

4f(2) = 4f(1+1) = 4[-2f(1)] = -8f(1) = -8*160

-8*160 = -1280
User Kerone
by
8.3k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital camera and a video camera. How much does he
Link Copied!