Write out the sum. Do not evaluate.
-$\sum _ { k = 1 } ^ { 6 } ( 5 k - 2 )$
A) 65
B) $3 + 8 + 13 + 18 + 23 + 28 + \ldots$
C) $1 + 3 + 8 + 13 + 18 + 23$
D) $3 + 8 + 13 + 18 + 23 + 28$

Question

Quizplus · Accepted Answer

The sum $\sum _ { k = 1 } ^ { 6 } ( 5 k - 2 )$ generates a sequence by substituting $k$ with each integer from 1 to 6. For $k=1$, the term is $3$; for $k=2$, the term is $8$; and so on up to $k=6$, which gives the term $28$. This results in the sequence $3, 8, 13, 18, 23, 28$, matching option D.

Write Out the Sum ∑k=16(5k−2)\sum _ { k = 1 } ^ { 6 } ( 5 k - 2 )∑k=16​(5k−2)

Write Out the Sum $\sum _ { k = 1 } ^ { 6 } ( 5 k - 2 )$