Question

relation between arithmetic sequences and polynomials​

Answer 1

Answer:

sequences

Step-by-step explanation:

polynomials

Answer 2

Answer:

The relation between arithmetic sequences and polynomials​.

Step-by-step explanation:

The Arithmetic sequence is defined as the sequence of the numbers and in which there is a difference between the numbers is constant.  

Example  for the Arithmetic sequence:-

Series = 2,4,6,8,10….

The above series is an arithmetic sequence.

And it consist of the common difference of 2.

Now,

To find any term in the given series, we use the formula and that formula is given in polynomial.  

So,  

Polynomial gives the equation, which consist of the variables that have known or unknown value.  

Let the first term of an arithmetic sequence is $a_1$ and the common difference is d, then the $n^{th}$ term of the sequence is given by:

$a_n=a_1$+(n−1)d -----------(polynomial eqaution)

An arithmetic series is the sum of an arithmetic sequence. We can find the sum by adding the first is $a_1$ and last term is $a_n$, divide by 2 in order to get the mean of the two values and then multiply by the number of values, n:-

$S_n=\dfrac{n}{2}(a_1+a_n)$ -----------(polynomial equation)