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Because that is how it is defined and derived.

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Q: Why does the nth term of arithmetic sequence work?
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Rule to finding terms in a arithmetic sequence?

The nth term of an arithmetic sequence = a + [(n - 1) X d]


What is the nth term of the arithmetic sequence 7101316?

One number, such as 7101316 does not define a sequence.


nth term of 7.14.21.28.35?

The given sequence (7, 14, 21, 28, 35,....) is an arithmetic sequence where each term increases by 7. The nth term of the given sequence is 7n


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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.


How do you use a arithmetic sequence to find the nth term?

The difference between successive terms in an arithmetic sequence is a constant. Denote this by r. Suppose the first term is a. Then the nth term, of the sequence is given by t(n) = (a-r) + n*r or a + (n-1)*r


What is the nth term for 26 18 10 2 -6?

The nth term in this arithmetic sequence is an=26+(n-1)(-8).


What is the nth term in the arithmetic sequence 0.87 1.24 1.61 1.98?

It is: 0.37*term+0.5


What is the nth term of the arithmetic sequence 22 15 8 1 ...?

The nth term is -7n+29 and so the next term will be -6


Which rule will find the nth term of the arithmetic sequence -58 -65 -72 -86?

It appears that a number of -79 is missing in the sequence and so if you meant -58 -65 -72 -79 -86 then the nth term is -7n-51 which makes 6th term in the sequence -93


What is an nth term in an arithmetic sequence?

The nth term is referring to any term in the arithmetic sequence. You would figure out the formula an = a1+(n-1)d-10where an is your y-value, a1 is your first term in a number sequence (your x-value), n is the term you're trying to find, and d is the amount you're increasing by.


What is the formula for nth term?

Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...