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First we define an arithmetic sequence as one where each successive term has a common difference and that difference is constant. An example might be 1, 4, 7, 10, 13, 16, ..where the difference is 3. 1+3=4, 4+3=7 etc.
Here is a common example that is given as a problem but shows a real life example of arithmetic sequences.
A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern. If the theater has 20 rows of seats, how many seats are in the theater?
The common difference is 8 and we want the the sum of the first 20 terms this gives us the sum of all the seats. We solve this by first finding the 20th term which is 212 and noting that the first term is 60. We add the first and the 20th terms in the sequence and multiply the sum by 20. Next we divide that product by 2.
The sum we are looking for is 20(60+212)/2=2720 so there are 2720 seats in the theater!
The general formula to find the sum of the first n terms in an arithmetic sequence is to multiply n by the sum of the first and nth terms in the sequence and divide that answer by 2. In symbols we write Sn=n(a1+ an)/2
What else can I help you with?
Is Use of arithmetic progression in daily life?
arithmetic progression is used in 10 class boards...... banks.....as a time pass
Real life situations where you use fractions?
in cookbooks and recipes
What is the real life use of polynomials?
uses in laser machine
How do you use fractions in real life?
You use fractions for LOTS of things in the real world like money, gambling, shopping, clothing, etc.
Use of natural number in real life?
natural numbers are used in real life for counting, adding, subtracting and even for calculting money purposes
What occupations use arithmetic sequences?
Various occupations utilize arithmetic sequences, including finance professionals who apply them in calculating loan payments and interest over time. Teachers and educators may use these sequences to demonstrate concepts in mathematics. In construction, project managers use arithmetic sequences for scheduling tasks and resource allocation. Additionally, computer scientists may implement arithmetic sequences in algorithms for data processing and optimization.
How do you use different seqences in real life?
The answer depends on the sequence. Different sequences may be used in different circumstances.
Can real number arithmetic be done without the use of a coprocessor?
Of course! People were doing real arithmetic long before the first computer!
Is Use of arithmetic progression in daily life?
arithmetic progression is used in 10 class boards...... banks.....as a time pass
What is example of arithmetic situation in real life?
A common example of an arithmetic situation in real life is budgeting for monthly expenses. For instance, if you earn $3,000 a month and have fixed expenses like rent ($1,200), groceries ($300), and utilities ($200), you can use arithmetic to calculate your remaining disposable income. By adding your fixed expenses and subtracting the total from your monthly income, you can determine how much you have left for savings or discretionary spending. This practical application of addition and subtraction helps in managing finances effectively.
What are some uses for binary coded decimal?
AnswerWe use BCD in processors that control industrial machines for one.It is also a good tool for arbitrary precision arithmetic; you can represent very long digit sequences that wouldn't fit in native arithmetic containers on computer systems.
Does a person use chronology in day to day life?
Yes. Humans are particularly interested in looking for cause-and-effect sequences in events taking place around them. Cause-and-effect sequences are chronology.
Where to use arithmetic progression formulae?
Where you have an arithmetic progression, quite possibly.
When is it appropriate to use arithmetic mean as opposed to the median?
when is it appropriate to use arithmetic mean as opposed to median
How can you use a number line to order real-life events?
how to use number line to represent real life event
How can you use solving equations in real life?
School is part of real life... if you are using equations in school that is real.
Use arithmetic in a sentence?
He could do arithmetic in his head *really fast. *optional
