perplexus.info :: Just Math : Astute Root Evaluation

Astute Root Evaluation (Posted on 2007-01-07)

Let C(x)=³√x and F(x)=⁴√x. Determine the value of each of the following expressions:

(i) C(25 + C(6 + C(5 + C(25 + C(6 + C(5+.....))))))

(ii) F(14 + F(5 + F(79 + F(14 + F(5+ F(79+ .....))))))

Can you come up with an analytic (apart from a computer program) solution?

See The Solution Submitted by K Sengupta

Rating: 4.5000 (2 votes)

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