Express the sum using summation notation.
-2 + 4 + 6 + ... + 16
A)
$\sum _ { k = 1 } ^ { 8 } k ^ { 2 }$
B)
$\sum _ { k = 0 } ^ { 8 } 2 k$
C)
$\sum _ { k = 1 } ^ { 8 } 2 k ^ { 2 }$
D)
$\sum _ { k = 1 } ^ { 8 } 2 k$

Question

Express the sum using summation notation.
-2 + 4 + 6 + ... + 16 
A)
$\sum _ { k = 1 } ^ { 8 } k ^ { 2 }$
B)
$\sum _ { k = 0 } ^ { 8 } 2 k$
C)
$\sum _ { k = 1 } ^ { 8 } 2 k ^ { 2 }$
D)
$\sum _ { k = 1 } ^ { 8 } 2 k$

Quizplus · Accepted Answer

The sequence is an arithmetic sequence with a common difference of 2, starting from 2 and ending at 16. The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n - 1)d$, where $a_1$ is the first term and $d$ is the common difference. Here, $a_1 = 2$ and $d = 2$, so the nth term is $2n$. Since the sequence ends at 16, which is the 8th term (2 times 8), the summation notation that correctly represents this sequence is $\sum _ { k = 1 } ^ { 8 } 2 k$.

Express the Sum Using Summation Notation ∑k=18k2\sum _ { k = 1 } ^ { 8 } k ^ { 2 }∑k=18​k2

Express the Sum Using Summation Notation $\sum _ { k = 1 } ^ { 8 } k ^ { 2 }$