Express the sum using summation notation with a lower limit of summation not necessarily 1 and with k for the index of
summation.
-$$\frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \frac { 7 } { 8 } + \ldots + \frac { 17 } { 18 }$$
A) $\sum _ { k = 5 } ^ { 17 } \frac { k } { k + 1 }$

B) $\sum _ { k = 4 } ^ { 17 } \frac { k + 1 } { k }$

C) $\sum _ { k = 4 } ^ { 17 } \frac { k } { k + 1 }$

D) $\sum _ { \mathrm { k } = 4 } ^ { 17 } \frac { \mathrm { k } } { \mathrm { k } \cdot 1.5 }$

Question

Express the sum using summation notation with a lower limit of summation not necessarily 1 and with k for the index of
summation.
-$$\frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \frac { 7 } { 8 } + \ldots + \frac { 17 } { 18 }$$
A) $\sum _ { k = 5 } ^ { 17 } \frac { k } { k + 1 }$

B) $\sum _ { k = 4 } ^ { 17 } \frac { k + 1 } { k }$

C) $\sum _ { k = 4 } ^ { 17 } \frac { k } { k + 1 }$

D) $\sum _ { \mathrm { k } = 4 } ^ { 17 } \frac { \mathrm { k } } { \mathrm { k } \cdot 1.5 }$

Quizplus · Accepted Answer

The given series starts with $\frac{4}{5}$ and ends with $\frac{17}{18}$, which matches the pattern $\frac{k}{k+1}$ starting from $k=4$ to $k=17$. This pattern is correctly represented in option C.

Express the Sum Using Summation Notation with a Lower Limit 45+56+67+78+…+1718\frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \frac { 7 } { 8 } + \ldots + \frac { 17 } { 18 }54​+65​+76​+87​+…+1817​

Express the Sum Using Summation Notation with a Lower Limit $\frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \frac { 7 } { 8 } + \ldots + \frac { 17 } { 18 }$