The last term of an arithmetic sequence is 14 and the ninth term is -1. Find the first four

Mathematics

1 answer:

Olegator [25]3 years ago

8 0

Answer:

Step-by-step explanation:

where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .

You might be interested in

The cost in dollars of producing x vehicles for a company is given by C(x)=1200x+5500

GarryVolchara [31]

The rate of change represents the variable production cost rate. The production cost is increased in 1200 units per each additional manufactured car.

<h3>Interpretation of a linear function</h3>

Let be $C$ and $x$ the production cost and the number of vehicles produced, it there is a linear relationship between the two variables, then we have the following formula:

$C(x) = \dot r \cdot x + C_{o}$ (1)

Where:

$C_{o}$ - Fixed production costs.
$\dot r$ - Variable production cost rate.

In a nutshell, the rate of change represents the variable production cost rate. The production cost is increased in 1200 units per each additional manufactured car. $\blacksquare$