Thread: Sum e^x for values x= 0 to x = 10?

Is there a way to solve this problem without calculating each value of x individually and then summing the total? I have a feeling there is, but I don't know how to start. Thank you.

sum x=0->10 for the equation e^x.

Exponential sum - Wikipedia, the free encyclopedia

Originally Posted by Also sprach Zarathustra

Exponential sum - Wikipedia, the free encyclopedia

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Geometric progression - Wikipedia, the free encyclopedia

My second foolish mistake for today! (Set theory do me a headache...)

There is a very simple trick that also works if you want to sum more terms and if you have another number than e. You multiply the sum by e-1. That gives you 22 terms, but all but two of them cancel, and you are left with e^11-1. This means the sum is (e^11-1)/(e-1).

Originally Posted by Tonek

There is a very simple trick that also works if you want to sum more terms and if you have another number than e. You multiply the sum by e-1. That gives you 22 terms, but all but two of them cancel, and you are left with e^11-1. This means the sum is (e^11-1)/(e-1).