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**1. Homework Statement**

Determine an explicit formula for the sum of n terms for the given series:

1, [tex]\frac{1}{2}[/tex], [tex]\frac{1}{3}[/tex], [tex]\frac{1}{4}[/tex], [tex]\frac{1}{5}[/tex]

**2. Homework Equations**

**3. The Attempt at a Solution**

I calculated the first 5 terms for the sum sequence and got:

1, [tex]\frac{3}{2}[/tex], [tex]\frac{11}{6}[/tex], [tex]\frac{25}{12}[/tex], [tex]\frac{137}{60}[/tex]

but I can't find a pattern to determine an explicit formula.