The sequence 1, 3, 6, 10, 15, 21 consists of triangular numbers, where the nth term can be calculated using the formula ( T_n = \frac{n(n + 1)}{2} ). This formula represents the sum of the first n natural numbers. For example, for n = 1, the term is 1; for n = 2, it is 3, and so on. Thus, the nth term is the sum of the integers from 1 to n.
(n^2+n)/2
after -9 it is -15 then -21, -27 and the ninth is -36
The nth term for the triangular numbers can be expressed using the formula ( T_n = \frac{n(n + 1)}{2} ), where ( n ) is a positive integer representing the position in the sequence. This formula calculates the sum of the first ( n ) natural numbers, resulting in the sequence 1, 3, 6, 10, 15, 21, and so on. For example, for ( n = 4 ), ( T_4 = \frac{4(4 + 1)}{2} = 10 ).
f = 10n + (n - 1)^2 For n=10 f = 10(10) + (10 - 1)^2 f = 181
To find the nth term of this sequence, we first need to determine the pattern or rule governing the sequence. By examining the differences between consecutive terms, we can see that the sequence is increasing by 9, 15, 21, 27, and so on. This indicates that the nth term is given by the formula n^2 + 1.
(n^2+n)/2
the anser is that you are stupid
after -9 it is -15 then -21, -27 and the ninth is -36
(1+n) x n/2 or (n + n2)/2
A single number, such as 1521273339 does not define a sequence. There is no nth term for a signle number.
1, 3, 6, 10, 15 ,21 The nth term for the sequence (where you replace n with the term you want to find) is: (n(n+1))/2
nth term = 5 +8n
The nth term of the sequence 2n + 1 is calculated by substituting n with the term number. So, the tenth term would be 2(10) + 1 = 20 + 1 = 21. Therefore, the tenth term of the sequence 2n + 1 is 21.
10n + 1
The nth term for the triangular numbers can be expressed using the formula ( T_n = \frac{n(n + 1)}{2} ), where ( n ) is a positive integer representing the position in the sequence. This formula calculates the sum of the first ( n ) natural numbers, resulting in the sequence 1, 3, 6, 10, 15, 21, and so on. For example, for ( n = 4 ), ( T_4 = \frac{4(4 + 1)}{2} = 10 ).
f = 10n + (n - 1)^2 For n=10 f = 10(10) + (10 - 1)^2 f = 181
It is 4n+5 and so the next term will be 25