Expert Answer to "∑n=18(3n−4) 1) Campfire Mocha 2) -1 3) 76..."

High School
Algebra
Pre-Algebra
Equations, expressions, and inequalitie

FizeauV

Answered question

2021-10-09

\sum_{n = 1}^{8} (3 n - 4)

1) Campfire Mocha
2) -1
3) 76
4) 20

Answer & Explanation

Jaylen Fountain

Skilled2021-10-10Added 169 answers

Step 1
In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expression that have the same value.
The most basic and common algebraic equations in math consist of one or more variables. For instance,

x - 9 = 7

is an equation, in which

x - 9

and 7 are two expressions separated by an ‘equal’ sign.
Step 2
Now substitute values of n from 1 to 8 in the equation and add them to obtain the summation of the series.

\sum_{n = 1}^{8} (3 n - 4) = (3 \times 1 - 4) + (3 \times 2 - 4) + (3 \times 3 - 4) + (3 \times 4 - 4) + (3 \times 5 - 4) + (3 \times 6 - 4) + (3 \times 7 - 4) + (3 \times 8 - 4)

= - 1 + 2 + 5 + 8 + 11 + 14 + 17 + 20

= 76

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