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Crystals
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Can someone guide me with the steps to differentiate a geometric sum, x?
[itex]^{n}_{i=0}[/itex][itex]\sum[/itex]x[STRIKE][itex]^{i}[/itex][/STRIKE]=[itex]\frac{1-x^{n+i}}{1-x}[/itex]
If I'm not wrong, the summation means:
[itex]= x^0 + x^1 + x^2 + x^3 + ... + n^i[/itex]
Problem is:
I have basic knowledge on differentiating a normal numbers but how do I apply differentiate on a geometric sum?
[itex]^{n}_{i=0}[/itex][itex]\sum[/itex]x[STRIKE][itex]^{i}[/itex][/STRIKE]=[itex]\frac{1-x^{n+i}}{1-x}[/itex]
If I'm not wrong, the summation means:
[itex]= x^0 + x^1 + x^2 + x^3 + ... + n^i[/itex]
Problem is:
I have basic knowledge on differentiating a normal numbers but how do I apply differentiate on a geometric sum?
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