SOLUTION: Find the sum of the following infinite geometric series, if it exists. 1.02 + 2.04 + 4.08 + 8.16 +�

Question 399240: Find the sum of the following infinite geometric series, if it exists.
1.02 + 2.04 + 4.08 + 8.16 +�
Found 2 solutions by richard1234, robertb:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
This is equal to

1.02(1 + 2 + 4 + ...), or in sigma form. However the series diverges, so the infinite sum diverges.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
You can also use the fact that if a series of (positive) terms converges, then the general term . By contraposition, since the general term approaches infinity, the series itself diverges.
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