Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.
-$$\sum _ { i = 1 } ^ { 34 } ( - 6 i + 5 )$$
A) $- 3400$
B) $- 3298$
C) $- 3315$
D) $- 3196$

Question

Quizplus · Accepted Answer

The sum of the first n terms of an arithmetic sequence is given by the formula:$$S_n = \frac{n}{2}(a_1 + a_n)$$where $a_1$ is the first term, $a_n$ is the nth term, and $n$ is the number of terms.In this case, $a_1 = -6(1) + 5 = -1$, $a_n = -6(34) + 5 = -201$, and $n = 34$.Substituting these values into the formula, we get:$$S_{34} = \frac{34}{2}(-1 + -201) = -3400$$Therefore, the correct answer is A.

Use the Formula for the Sum of the First N ∑i=134(−6i+5)\sum _ { i = 1 } ^ { 34 } ( - 6 i + 5 )i=1∑34​(−6i+5)

Use the Formula for the Sum of the First N $\sum _ { i = 1 } ^ { 34 } ( - 6 i + 5 )$