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What your tutor wants is for you to identify the factors of 21 and of 56. From this information you will find it easy to answer the question. good luck

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Q: What is the first term in a arithmetic sequence if the third term is 21 and the eight term is 56?
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What is the common ratio of geometric sequence whose third term is 1 and eight term is 243?

3


How do you use arithmetic sequences in real life?

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


The first term of an arithmetic sequence 7 the tenth term is 34 what is the fifth term?

Some number x is added to 7 for every number in the sequence. So, the second number is 7+x, the third number is 7+2x... So the tenth number is 7+9x = 34. Solve for x, x=3. The fifth number is 7+4x, which is 7+(4*3), which is 19


The fourth term of a geometric sequence is -64 the product of the first and third term is 16?

the series can be 1,-4,16,-64


What does nth mean in math?

The term nth in math means some item in a sequence; n stands for number, so if you have a sequence with a first, second, third, fourth, fifth, sixth (etc) item, you can also talk about the nth item, which is some item at some unspecified location in this sequence.

Related questions

How is a arithmetic sequence found?

You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.


What is the value of the twenty third term in the sequence ten eight six four?

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The nth term is 3(n+1). The twenty-third term is equal to 3 x (23 + 1) = 72


Can difference between AP series and GP series?

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What is the common ratio of geometric sequence whose third term is 1 and eight term is 243?

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