perplexus.info :: Sequences : Sum 2001 Terms

Sum 2001 Terms (Posted on 2016-02-27)

Each term of the sequence {S(n)} is an integer, where:
S(n+2) = S(n+1) – S(n) for n > 0

The sum of the first 1492 terms is 1985, and:
The sum of the first 1985 terms is 1492.

Find the sum of the first 2001 terms.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required sum is 986.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution	Brian Smith	2016-02-27 11:18:03

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info