#Solving sequences for free#
#Solving sequences license#
#Solving sequences series#

#Solving sequences license#

Open Access This is an open access article distributed under the CC BY-NC license ( ). Based on the research results, introverted students make mistakes in understanding, process skills, and perform mistakes in writing the final answer.

#Solving sequences series#

The instrument used in this study was to collect data comprising an MBTI questionnaire, a test regarding the arithmetic sequence and series material, an interview guide and a validation sheet. The subjects in this study were 3 students with introverted personality types. This research is qualitative descriptive research. This study aims to analyze students’ errors in solving arithmetic sequences and series material based on Newman’s error analysis in grade VIII Junior High School 11 Jemberin terms of Jung’s personality type.

This feature causes many students to experience errors in solving math problems.

It is because of one of the Abstract characteristics of mathematics. However, facts in the field show that students’ reasoning power is still weak in the learning process of mathematics. OpenStax CNX.Mathematics is a universal field of science and has a very important role in human life. OpenStax College, Algebra and Trigonometry.

#Solving sequences for free#

You can also download for free at For questions regarding this license, please contact If you use this textbook as a bibliographic reference, then you should cite it as follows: This work is licensed under a Creative Commons Attribution 4.0 International License. Glossary arithmetic sequence a sequence in which the difference between any two consecutive terms is a constant common difference the difference between any two consecutive terms in an arithmetic sequence

In application problems, we sometimes alter the explicit formula slightly to.

An explicit formula can be used to find the number of terms in a sequence.

An explicit formula for an arithmetic sequence with common difference.

As with any recursive formula, the initial term of the sequence must be given.

A recursive formula for an arithmetic sequence with common difference.

The terms of an arithmetic sequence can be found by beginning with the initial term and adding the common difference repeatedly.

The common difference is the number added to any one term of an arithmetic sequence that generates the subsequent term.

The constant between two consecutive terms is called the common difference.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant.

Key Equations recursive formula for nth term of an arithmetic sequenceĮxplicit formula for nth term of an arithmetic sequence You can choose any term of the sequence, and add 3 to find the subsequent term.Īccess this online resource for additional instruction and practice with arithmetic sequences.

The Sequence Calculator finds the equation of the sequence and also allows you to view the next terms in the sequence. In this case, the constant difference is 3. Step 1: Enter the terms of the sequence below. The sequence below is another example of an arithmetic sequence. For this sequence, the common difference is –3,400. Each term increases or decreases by the same constant value called the common difference of the sequence.

The values of the truck in the example are said to form an arithmetic sequence because they change by a constant amount each year. In this section, we will consider specific kinds of sequences that will allow us to calculate depreciation, such as the truck’s value. The truck will be worth $21,600 after the first year $18,200 after two years $14,800 after three years $11,400 after four years and $8,000 at the end of five years. The loss in value of the truck will therefore be $17,000, which is $3,400 per year for five years. After five years, she estimates that she will be able to sell the truck for $8,000. One method of calculating depreciation is straight-line depreciation, in which the value of the asset decreases by the same amount each year.Īs an example, consider a woman who starts a small contracting business. This decrease in value is called depreciation. The book-value of these supplies decreases each year for tax purposes. Use an explicit formula for an arithmetic sequence.Ĭompanies often make large purchases, such as computers and vehicles, for business use.Use a recursive formula for an arithmetic sequence.Find the common difference for an arithmetic sequence.