perplexus.info :: Just Math : Which is larger?

Which is larger? (Posted on 2008-06-30)

Which is larger, where n is a natural number:

     99ⁿ + 100ⁿ   or   101ⁿ ?

See The Solution Submitted by pcbouhid

Rating: 4.2500 (4 votes)

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re(2): Near Analytic Solution - the proof you asked for

| Comment 5 of 7 |

(In reply to re: Near Analytic Solution - the proof you asked for by pcbouhid)

Thanks, PCB, for a splendid analytical proof of A(48) < 1. This indeed completes the solution of the given problem.

I came across this problem in the olympiad section of a local journal in 1993 (without solution).

I have been trying ever since for a comprehensive analytical proof that A(48) <1 for the last 15 years, but my endeavors in that direction failed to reach their fruition, till I visualised your proof just now.

Posted by K Sengupta on 2008-06-30 14:33:47

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