perplexus.info :: Just Math : A little twist

A little twist (Posted on 2016-10-21)

If a, b are the roots of 2x^2 - 5x + 1 = 0 and

S(n) = a^(2n) + b^(2n)

then find the value of (4*S(2017) + S(2015)) / S(2016)

No Solution Yet Submitted by Danish Ahmed Khan

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re: computer solution.....yes,but...

| Comment 2 of 4 |

(In reply to computer solution by Charlie)

..."= 21 for any k, even zero or negative.

...it might be true, but the text does not define S(x) for non-positive values of x thus precluding recursive evaluation of fns(x).

Posted by Ady TZIDON on 2016-10-21 23:46:36

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