How do you evaluate an arithmetic series if the sigma notation is not given?

How do you evaluate an arithmetic series if the sigma notation is not given My hw gives me a1 an and n but I don't know how to solve?

This site no longer allows me to enter subscripts so I will use brackets: a(n) to indicate the nth term.a(n) = a(1) + (n-1)*d where d is the common difference between the terms of the arithmetic sequence.Therefore, d = [a(n) - a(1)]/(n-1)Then, the appropriate arithmetic series isS(n) = 1/2*n[2*a(1) + (n-1)*d] where all the terms on the right hand side are known.

How do you evaluate an expression when given values for the variables?

You replace each variable by its value. Then you do the indicated calculations.

What is Arithmetic sequence if the given is a b?

poihugyftdrsykdtulfiyg8ypt7r6leu5kyjasrkdtou

Is an arithmetic mean a weighted mean or a weighted mean an arithmetic mean?

The arithmetic mean is a weighted mean where each observation is given the same weight.

What is the uses of arithmetic progression?

When quantities in a given sequence increase or decrease by a common difference,it is called to be in arithmetic progression.

What do you need to be given to evaluate an algebraic expression?

A variable

How do you evaluate a function for a given input value?

Substitute the given value for the argument of the function.

What is the general sum of an arithmetic sequence?

Given an arithmetic sequence whose first term is a, last term is l and common difference is d is:The series of partial sums, Sn, is given bySn = 1/2*n*(a + l) = 1/2*n*[2a + (n-1)*d]

Given the arithmetic sequence -11-16-21 what is S30?

-161.

Difference between AP series GPs reis?

AP - Arithmetic ProgressionGP - Geometric ProgressionAP:An AP series is an arithmetic progression, a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 3, 5, 7, 9, 11, 13, … is an arithmetic progression with common difference 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by:and in generalA finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression.The behavior of the arithmetic progression depends on the common difference d. If the common difference is:Positive, the members (terms) will grow towards positive infinity.Negative, the members (terms) will grow towards negative infinity.The sum of the members of a finite arithmetic progression is called an arithmetic series.Expressing the arithmetic series in two different ways:Adding both sides of the two equations, all terms involving d cancel:Dividing both sides by 2 produces a common form of the equation:An alternate form results from re-inserting the substitution: :In 499 AD Aryabhata, a prominent mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, gave this method in the Aryabhatiya (section 2.18) .[1]So, for example, the sum of the terms of the arithmetic progression given by an = 3 + (n-1)(5) up to the 50th term isGP:A GP is a geometric progression, with a constant ratio between successive terms. For example, the series is geometric, because each successive term can be obtained by multiplying the previous term by 1 / 2.Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property. Historically, geometric series played an important role in the early development of calculus, and they continue to be central in the study of convergence of series. Geometric series are used throughout mathematics, and they have important applications in physics, engineering, biology, economics, computer science, queuing theory, and finance.

What does it mean to evaluate an expression?

To evaluate an expression is nothing but to operate the given expression according to the operators given in the expression if it is evaluable i.e, it could be convertable.

How do you evaluate an arithmetic series if the sigma notation is not given?

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