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(Solved): 7. Find the first four partial sums. Determine the formula for \( s_{n} \) and find the exact sum ...



7. Find the first four partial sums. Determine the formula for \( s_{n} \) and find the exact sum of the following series.
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7. Find the first four partial sums. Determine the formula for \( s_{n} \) and find the exact sum of the following series. \[ \sum_{k=1}^{\infty} \frac{1}{(2 k-1)(2 k+1)} \]


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First four partial sums are s1=a1=1(2(1)?1)(2(1)+1)=1(1)(3)s2=a1+a2=s1+1(2(2)?1)(2(2)+1)=1(1)
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