Find the sum by adding each term together. Use the summation capabilities of a graphing utility to verify your result. (Round your answer to four decimal places.) sum_(k=3)^7 (1)/(k^(2)+9)

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Find the sum by adding each term together. Use the summation capabilities of a graphing utility to verify your result. (Round your answer to four decimal places.)  sum_(k=3)^7 (1)/(k^(2)+9)

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