perplexus.info :: Just Math : Eighty Four Exercise

Eighty Four Exercise (Posted on 2014-11-10)

The function G(N) is such that:

G(N) = N-3, if N ≥ 1000, and:
G(N) = G(G(N+5)), if N < 1000

where, N is an integer.

Find G(84)

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Working Backwards (spoiler)

Comment 1 of 1

G(999) = G(G(1004)) = G(1001) = 998

G(998) = G(G(1003)) = G(1000) = 997

G(997) = G(G(1002)) = G(999) = 998

G(996) = G(G(1001)) = G(998) = 997

G(995) = G(G(1000)) = G(997) = 998

G(994) = G(G(999)) = G(998) = 997

and so forth

If N < 1000,

then G(N) = if N is odd, then 998

= if N is even, then 997

So, G(84) = 997

Posted by Steve Herman on 2014-11-10 17:29:46

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