Summation Notation - Variable in the exponent

Thread starter Goldenwind
Start date Mar 1, 2008
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Exponent Notation Summation Variable

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To solve a summation of the form Sum(c^i), where c is a constant, it is identified as a geometric series. The condition for convergence is that the absolute value of c must be less than 1 (|c|<1). Under this condition, the sum can be calculated using the formula S = a / (1 - r), where a is the first term and r is the common ratio. This approach allows for the effective evaluation of the series. Understanding these principles is essential for working with variable exponents in summation notation.

Mar 1, 2008

Goldenwind

[SOLVED] Summation Notation - Variable in the exponent

Homework Statement

This is an example formula.

How do I solve a summation if something is in the form of Sum(c^i), where c is some constant?

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Mar 2, 2008

Dick

Science Advisor

Homework Helper

Then it's geometric series. You'll want |c|<1.

Mar 2, 2008

Goldenwind

Thank-you :)

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