Express the sum using summation notation.
-$$\frac { 1 } { 4 } + \frac { 2 } { 5 } + \frac { 1 } { 2 } + \cdots + \frac { 4 } { 5 }$$
A)
$\sum _ { k = 1 } ^ { n } \frac { k } { k + 3 }$

B)
$\sum _ { k = 1 } ^ { 12 } \frac { k } { k + 3 }$

C)
$\sum _ { k = 0 } ^ { 12 } \frac { k } { k + 3 }$

D)
$\sum _ { k = 3 } ^ { 12 } \frac { k } { k + 1 }$

Question

Express the sum using summation notation.
-$$\frac { 1 } { 4 } + \frac { 2 } { 5 } + \frac { 1 } { 2 } + \cdots + \frac { 4 } { 5 }$$
A)
$\sum _ { k = 1 } ^ { n } \frac { k } { k + 3 }$

B)
$\sum _ { k = 1 } ^ { 12 } \frac { k } { k + 3 }$

C)
$\sum _ { k = 0 } ^ { 12 } \frac { k } { k + 3 }$

D)
$\sum _ { k = 3 } ^ { 12 } \frac { k } { k + 1 }$

Quizplus · Accepted Answer

The given sequence starts with $k = 1$ and ends with the term $\frac{4}{5}$, which corresponds to the 12th term in the sequence when following the pattern. The general term of the sequence is $\frac{k}{k+3}$, where $k$ starts from 1 and goes up to 12 to include all terms of the sequence.

Express the Sum Using Summation Notation 14+25+12+⋯+45\frac { 1 } { 4 } + \frac { 2 } { 5 } + \frac { 1 } { 2 } + \cdots + \frac { 4 } { 5 }41​+52​+21​+⋯+54​

Express the Sum Using Summation Notation $\frac { 1 } { 4 } + \frac { 2 } { 5 } + \frac { 1 } { 2 } + \cdots + \frac { 4 } { 5 }$