How Can sequences be used in real life?

Sequences are useful in our daily lives as well as in higher mathematics. For example, the interest portion of monthly payments made to pay off an automobile or home loan, and the list of maximum daily temperatures in one area for a month are sequences.

What is an example of a non arithmetic sequence?

that contain no three-term arithmetic progressions. 1, 2, 4, 5, 10, 11, 13, 14, 28, 29, 31, 32, 1, 3, 4, 6, 10, 12, 13, 15, 28, 30, 31, 33.

Where are sequences and series used in real life?

Examples of Sequences and Series They are widely used to in computer science, engineering, finance and economics etc. to determine various possibilities of a certain situation or criteria to design, analyze, build or predict something.

What are the applications of sequences?

Sequences are useful in a number of mathematical disciplines for studying functions, spaces, and other mathematical structures using the convergence properties of sequences. In particular, sequences are the basis for series, which are important in differential equations and analysis.

What if a sequence is not arithmetic or geometric?

If a sequence does not have a common ratio or a common difference, it is neither an arithmetic nor a geometric sequence. You should still try to figure out the pattern and come up with a formula that describes it.

What are arithmetic sequences used for?

An arithmetic sequence is a string of numbers where each number is the previous number plus a constant. This constant difference between each pair of successive numbers in our sequence is called the common difference. The general term is the formula that is used to calculate any number in an arithmetic sequence.

How do you use a harmonic sequence in real life?

Applications of Harmonic Progression In everyday life, the harmonic formulae can also be used by scientists to conclude the value of their experiments. 2. Harmonic progression is used to establish how water boils each time the temperature is changed with the same value.

How can you apply arithmetic sequence?

We can use the formula for the sum of the first 𝑛 terms of an arithmetic sequence: 𝑆 = 𝑛 2 ( 2 𝑇 + ( 𝑛 − 1 ) 𝑑 ) ,   where 𝑇  is the first term and 𝑑 is the common difference.

What is arithmetic sequence in real life?

One example of arithmetic sequence in real life is the celebration of people’s birthday. The common difference between consecutive celebrations of the same person is one year. In fact, if you will give it more thought, many festivities are celebrated this way.

Which of the following is neither an example of an arithmetic sequence nor a geometric sequence?

Two famous sequences that are neither arithmetic nor geometric are the Fibonacci sequence and the sequence of prime numbers.

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