Math Problem Statement

Infinite series can be classified according to their sum. If the sum of a series can be evaluated, then it is convergent; if not, then it is divergent. Identify if the series are divergent or convergent. then, justify or put proofs of why is divergent or convergent.

  1. 2+1+1/2+1/4+1/8+....
  2. 5-5/3+5/9-5/27+....
  3. 1+2+3+4+5+...
  4. 2+4+8+16+... 5. 5+5+5+5+...

Solution

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Math Problem Analysis

Mathematical Concepts

Infinite Series
Convergence
Divergence

Formulas

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Theorems

Geometric Series Sum Formula
Series Convergence Tests

Suitable Grade Level

Advanced High School and College