The sequence you provided is known as the triangular numbers, where each term represents the sum of the first ( n ) natural numbers. The nth term can be expressed using the formula ( T_n = \frac{n(n + 1)}{2} ), where ( n ) starts from 0. For example, ( T_0 = 0 ), ( T_1 = 1 ), ( T_2 = 3 ), and so on.
If you mean: 15 11 7 3 then the nth term is 19-4n
It is: nth term = 5-4n and so the next term will be -19
To find the nth term of the sequence 5, 15, 29, 47, 69, we first determine the differences between consecutive terms: 10, 14, 18, and 22. The second differences are constant at 4, indicating that the nth term is a quadratic function. By fitting the quadratic formula ( an^2 + bn + c ) to the sequence, we find that the nth term is ( 2n^2 + 3n ). Thus, the nth term of the sequence is ( 2n^2 + 3n ).
If you mean -1 3 7 11 15 then the nth term is 4n-5 and so the next term will be 19
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.
15(1)
(1+n) x n/2 or (n + n2)/2
The nth term in this sequence is 4n + 3.
Type your answer here... The next numbers in the sequence are 55, 70, 87, 106, 127, etc.
If you mean: 15 11 7 3 then the nth term is 19-4n
It is: nth term = 29-7n
The nth term is: 5n
It is: nth term = 5-4n and so the next term will be -19
The nth term is 18 -3n and so the next term will be 3
The nth term is 4n-1 and so the next term will be 19
To find the nth term of the sequence 5, 15, 29, 47, 69, we first determine the differences between consecutive terms: 10, 14, 18, and 22. The second differences are constant at 4, indicating that the nth term is a quadratic function. By fitting the quadratic formula ( an^2 + bn + c ) to the sequence, we find that the nth term is ( 2n^2 + 3n ). Thus, the nth term of the sequence is ( 2n^2 + 3n ).
Say if you had the pattern 15 20 25 30 35 40 45 50 To find the nth term you have to see what the gap between the numbers is. In our case this is 5. Then you have to find out what the difference between the gap and the first number. In this sequence it is 10. So your answer would be..... 5n+10 That's how you find the nth term.