Write the Sum Using Sigma Notation $\frac { 1 } { 1 \cdot 2 } + \frac { 1 } { 2 \cdot 3 } + \frac { 1 } { 3 \cdot 4 } + \ldots + \frac { 1 } { 999 \cdot 1000 }$

question 26

Multiple Choice

Write the sum using sigma notation. $\frac { 1 } { 1 \cdot 2 } + \frac { 1 } { 2 \cdot 3 } + \frac { 1 } { 3 \cdot 4 } + \ldots + \frac { 1 } { 999 \cdot 1000 }$

• A) \(\sum _ { n = 1 } ^ { 1000 } \frac { 1 } { n ( n + 1 ) }\)
• B) \(\sum _ { n = 1 } ^ { 1000 } \frac { 1 } { n ( n - 1 ) }\)
• C) \(\sum _ { n = 1 } ^ { 999 } \frac { 1 } { n ( n + 1 ) }\)
• D) \(\sum _ { n = 1 } ^ { 1001 } \frac { 1 } { n ( n + 1 ) }\)
• E) \(\sum _ { n = 1 } ^ { 999 } \frac { 1 } { n ( n - 1 ) }\)

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