Express the sum using summation notation.
-2 + 4 + 6 + ... + 14
A)
$\sum _ { k = 0 } ^ { 7 } 2 k$

B) $\sum _ { k = 1 } ^ { 7 } 2 k$

C) $\sum _ { k = 1 } ^ { 7 } k ^ { 2 }$

D)
$\sum _ { k = 1 } ^ { 7 } 2 k ^ { 2 }$

Question

Express the sum using summation notation.
-2 + 4 + 6 + ... + 14
A)
$\sum _ { k = 0 } ^ { 7 } 2 k$

B) $\sum _ { k = 1 } ^ { 7 } 2 k$

C) $\sum _ { k = 1 } ^ { 7 } k ^ { 2 }$

D)
$\sum _ { k = 1 } ^ { 7 } 2 k ^ { 2 }$

Quizplus · Accepted Answer

The sequence is an arithmetic sequence with a common difference of 2, starting from 2 and ending at 14. 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 can be expressed as $2n$. Since the sequence starts from 2 and ends at 14, there are 7 terms, making the correct summation notation $\sum _ { k = 1 } ^ { 7 } 2 k$.

Express the Sum Using Summation Notation ∑k=072k\sum _ { k = 0 } ^ { 7 } 2 k∑k=07​2k

Express the Sum Using Summation Notation $\sum _ { k = 0 } ^ { 7 } 2 k$