Because that is how it is defined and derived.
The nth term of an arithmetic sequence = a + [(n - 1) X d]
One number, such as 7101316 does not define a sequence.
The sequence given is an arithmetic sequence where each term increases by 6. To find the nth term, you can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Here, ( a_1 = 7 ) and ( d = 6 ). Thus, the nth term can be expressed as ( a_n = 7 + (n-1) \times 6 = 6n + 1 ).
The sequence 7, 4, 1, -2, -5 is an arithmetic sequence with a common difference of -3. To find the nth term, you can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_1 = 7 ) and ( d = -3 ). Thus, the nth term is given by ( a_n = 7 + (n-1)(-3) = 10 - 3n ).
The sequence 1, 3, 5, 7, 9 is an arithmetic sequence where each term increases by 2. The nth term can be expressed as ( a_n = 2n - 1 ). Therefore, for any positive integer ( n ), the nth term of the sequence is ( 2n - 1 ).
The nth term of an arithmetic sequence = a + [(n - 1) X d]
One number, such as 7101316 does not define a sequence.
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
i dont get it
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
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
It is: 0.37*term+0.5
The sequence given is an arithmetic sequence where each term increases by 6. To find the nth term, you can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Here, ( a_1 = 7 ) and ( d = 6 ). Thus, the nth term can be expressed as ( a_n = 7 + (n-1) \times 6 = 6n + 1 ).
The nth term is -7n+29 and so the next term will be -6
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 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.