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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.
What else can I help you with?
What is the nth term formula for the triangle numbers 1 3 6 10 15 21?
(n^2+n)/2
What is the nth term of this sequence 15 9 3 -3 -9?
after -9 it is -15 then -21, -27 and the ninth is -36
What is the nth term for the triangular numbers 1 3 6 10 15 21?
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 ).
What is the nth term and the 10th term of the squence 10 21 34 49?
f = 10n + (n - 1)^2 For n=10 f = 10(10) + (10 - 1)^2 f = 181
What is the nth term of 2 11 26 47 74 107?
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.
What is the nth term formula for the triangle numbers 1 3 6 10 15 21?
(n^2+n)/2
What is the nth term of 15 21 27 33 39?
the anser is that you are stupid
What is the nth term of this sequence 15 9 3 -3 -9?
after -9 it is -15 then -21, -27 and the ninth is -36
What is the nth term for 1 3 6 10 15 21 28 36 etc?
(1+n) x n/2 or (n + n2)/2
What is the nth term for 15 21 27 33 39?
A single number, such as 1521273339 does not define a sequence. There is no nth term for a signle number.
The first 6 triangular numbers are?
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
What is the formula for the nth Term of these sequences 13 21 29 37 45 ...?
nth term = 5 +8n
What is tenth term of the sequence 2n plus 1?
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.
What is the nth term for 11 21 31 41?
10n + 1
What is the nth term for the triangular numbers 1 3 6 10 15 21?
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 ).
What is the nth term and the 10th term of the squence 10 21 34 49?
f = 10n + (n - 1)^2 For n=10 f = 10(10) + (10 - 1)^2 f = 181
What is the nth term 9 13 17 21?
It is 4n+5 and so the next term will be 25
