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 So,
Originally Posted by hurz In order to find in : , thus: , set z = 0, then:
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