Use Summation Notation
-$$\frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \frac { 7 } { 8 } + \ldots + \frac { 16 } { 17 }$$
A) $\sum _ { k = 4 } ^ { 16 } \frac { k } { k + 1 }$
B) $\sum _ { \mathrm { k } = 5 } ^ { 16 } \frac { \mathrm { k } + 1 } { \mathrm { k } }$
C) $\sum _ { k = 4 } ^ { 16 } \frac { k + 1 } { k }$
D) $\sum _ { k = 5 } ^ { 16 } \frac { \mathrm { k } } { \mathrm { k } + 1 }$

Question

Quizplus · Accepted Answer

The sequence starts with the numerator 4 and ends with the numerator 16, increasing by 1 each time. The denominator is always 1 more than the numerator, which matches the formula in option A: $\frac { k } { k + 1 }$ for $k$ ranging from 4 to 16.

Use Summation Notation - 45+56+67+78+…+1617\frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \frac { 7 } { 8 } + \ldots + \frac { 16 } { 17 }54​+65​+76​+87​+…+1716​

Use Summation Notation
- $\frac { 4 } { 5 } + \frac { 5 } { 6 } + \frac { 6 } { 7 } + \frac { 7 } { 8 } + \ldots + \frac { 16 } { 17 }$