How does the serie from n=1 to infinity of 5/9+2^n simplify into (5/9 +2^n)? Why is it not simplify to (5/9+(1/2)^n? Please explian, thank you.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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How does the serie from n=1 to infinity of 5/9+2^n simplify into (5/9 +2^n)?

Why is it not simplify to (5/9+(1/2)^n?

Please explian, thank you.

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