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Q: If the common difference in the arithmetic sequences for and the 20th term is 36 what is the first term?
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What is the 14th term in an arithmetic sequence in which the first term is 100 and the common difference is -4?

What is the 14th term in the arithmetic sequence in which the first is 100 and the common difference is -4? a14= a + 13d = 100 + 13(-4) = 48


What are the answers for Arithmetic and Geometric Sequences gizmo?

Arithmetic : (First term)(last term)(act of terms)/2 Geometric : (first term)(total terms)+common ratio to the power of (1+2+...+(total terms-1))


What is the nth term in the arithmetic sequence?

It is a + 8d where a is the first term and d is the common difference.


What is the common first difference of this arithmetic sequence 65 53 41 29?

16


What is the answer to this problem An plus 1 equals 3n-An answer?

The answer is two arithmetic sequences, both with a common difference of 3, alternating with one another, where the second series is greater than the first by the value of 2*A(0), ie twice the starting value.


Explain how to find the common difference of an arithmetic sequence?

From any term after the first, subtract the preceding term.


WHAT ARE THE FIRST THREE OF AN ARITHMETIC SEQUENCE WHOSE LAST TERM IS 1 IF THE COMMON DIFFERENCE IS -5?

6


What is the sum of the first 15 terms of an arithmetic?

For an Arithmetic Progression, Sum = 15[a + 7d].{a = first term and d = common difference} For a Geometric Progression, Sum = a[1-r^15]/(r-1).{r = common ratio }.


What is the common difference used to make an arithmetic sequence where the first number is 14 and the 16th number is 104?

6


What are the first ten sequences whose first term is -10 and whose common difference is -2?

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What is first four terms of the arithmetic sequence with common difference of 3 and a first term of -26?

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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