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Q: Why does the nth term of arithmetic sequence work?

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

i dont get it

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

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

It is: 0.37*term+0.5

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

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

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

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

18 - 6n

7 - 4n where n denotes the nth term and n starting with 0

The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.

The nth term of an arithmetic sequence is given by. an = a + (n – 1)d. The number d is called the common difference because any two consecutive terms of an. arithmetic sequence differ by d, and it is found by subtracting any pair of terms an and. an+1.

It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b

Nth number in an arithmetic series equals 'a + nd', where 'a' is the first number, 'n' signifies the Nth number and d is the amount by which each term in the series is incremented. For the 5th term it would be a + 5d

Find the formula of it.

6n-5 is the nth term of this sequence

The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.

tn = a + (n - 1)d where a is the first term and d is the difference between each term.

10 - 4n

8 + 4n

the first 4 terms of the sequence which has the nth term is a sequence of numbers that that goe together eg. 8,12,16,20,24 the nth term would be 4n+4

A single number, such as -3052 cannot define a sequence and, without a sequence you cannot have an nth term.

It means to work out a suitable nth term that is applicable to all terms of a sequence of numbers following a regular pattern.

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.