The nth term of an arithmetic sequence = a + [(n - 1) X d]
One number, such as 7101316 does not define a sequence.
i dont get it
Because that is how it is defined and derived.
It is a + 8d where a is the first term and d is the common difference.
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
It is: 0.37*term+0.5
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
The nth term is -7n+29 and so the next term will be -6
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, ...
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
8 + 4n
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
tn = a + (n - 1)d where a is the first term and d is the difference between each term.
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.
18 - 6n
The 90th term of the arithmetic sequence is 461
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
6n-5 is the nth term of this sequence
123456789 * * * * * The nth term is 3n
7 - 4n where n denotes the nth term and n starting with 0
The nth term of the sequence is 2n + 1.
This is an arithmetic sequence with initial term a = 3 and common difference d = 2. Using the nth term formula for arithmetic sequences an = a + (n - 1)d we get an = 3 + (n - 1)(2) = 2n - 2 + 3 = 2n + 1.
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