Write out the sum. Do not evaluate.
-$$\sum _ { k = 1 } ^ { 6 } ( 5 k - 3 )$$
A) $2 + 7 + 12 + 17 + 22 + 27 + \ldots$
B) $1 + 2 + 7 + 12 + 17 + 22$
C) 60
D) $2 + 7 + 12 + 17 + 22 + 27$

Question

Quizplus · Accepted Answer

The sum $\sum _ { k = 1 } ^ { 6 } ( 5 k - 3 )$ generates a sequence by substituting $k$ with values from 1 to 6. For $k=1$, the expression $5(1)-3=2$; for $k=2$, $5(2)-3=7$, and so on up to $k=6$, which gives $5(6)-3=27$. This results in the sequence 2, 7, 12, 17, 22, 27, matching option D.

Write Out the Sum ∑k=16(5k−3)\sum _ { k = 1 } ^ { 6 } ( 5 k - 3 )k=1∑6​(5k−3)

Write Out the Sum $\sum _ { k = 1 } ^ { 6 } ( 5 k - 3 )$