In order to find in :
By partial fractions i got
inside we have 2 geometric series
the series for is
and for we have
so the coeficients of are times
but the unswer is times
i did something wrong?
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You did not necessarily do anything wrong. Notice that , as you can check by multiplying out the fractions.
Incidentally, the coefficients in that power series are the Fibonacci numbers.
Originally Posted by Opalg Incidentally, the coefficients in that power series are the Fibonacci numbers.
Certainly, if is the Fibonacci's sequence, and then, in the open disk of convergence
Originally Posted by hurz In order to find in : , thus: , set z = 0, then:
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