Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.
-$\sum _ { i = 1 } ^ { 50 } 2 \mathrm { i }$
A) 2550
B) 2601
C) 2548
D) 2499

Question

Quizplus · Accepted Answer

The sum of the first n terms of an arithmetic sequence is given by $S_n = \frac{n}{2}(a_1 + a_n)$, where $a_1$ is the first term and $a_n$ is the nth term. Here, $a_1 = 2(1) = 2$ and $a_{50} = 2(50) = 100$. Plugging these into the formula gives $S_{50} = \frac{50}{2}(2 + 100) = 25(102) = 2550$.

Use the Formula for the Sum of the First N ∑i=1502i\sum _ { i = 1 } ^ { 50 } 2 \mathrm { i }∑i=150​2i

Use the Formula for the Sum of the First N $\sum _ { i = 1 } ^ { 50 } 2 \mathrm { i }$