Rewrite the sum
{eq}\displaystyle{ S = 2 + 4 + 6 + \cdots + 16 } {/eq}
using sigma notation.
Question:
Rewrite the sum
{eq}\displaystyle{ S = 2 + 4 + 6 + \cdots + 16 } {/eq}
using sigma notation.
Sigma Notation:
Sigma notation refers to compressing a given sum of selected numbers into a single expression. The mathematical symbol used to denote a sum of any sort is {eq}\displaystyle \Sigma {/eq} (Greek big letter sigma). The summation is usually expressed in terms of a given variable.
Answer and Explanation:
Become a Study.com member to unlock this answer! Create your account
View this answer
Given:
{eq}\displaystyle{ S = 2 + 4 + 6 + \cdots + 16 } {/eq}
Note that these are all even numbers that start from 2. The series ends at 16....
See full answer below.
Learn more about this topic:
from
Chapter 26 / Lesson 8An arithmetic series is the sum of a sequence in which each term is computed from the previous one by adding (or subtracting) a constant. Discover the equations and formulas in an arithmetic series.