Find the Sum of the Series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { ( 5 n - 1 ) ( 5 n + 1 ) }$

question 144

Multiple Choice

Find the sum of the series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { ( 5 n - 1 ) ( 5 n + 1 ) }$ .

• A) \(\frac { 1 } { 5 }\)
• B) \(\frac { 1 } { 6 }\)
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 1 } { 10 }\)
• E)1
• F) \(\frac { 3 } { 4 }\)
• G) \(\frac { 3 } { 2 }\)
• H)Divergent

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Shares of a company's own stock that it has reacquired but not retired, which do not pay dividends and have no voting rights.

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The ownership interest of shareholders in the net assets of a corporation, represented by the difference between total assets and total liabilities.

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