Without further restrictions it can be any of an infinite number of formulae.
For example, U{n} = (11n⁴ - 110x³ + 385x² - 518x + 176)/8 which gives the next term as 42.
However, if it is an ARITHMETIC SEQUENCE (as I suspect your teacher wants), then the nth term is found:
Common difference: (-3) - (-7) = 4
→ 0th term is -7 - 4 = -11
→ nth term U{n} = 4n - 11
The nth term is: 5-2n
It is: nth term = 5-4n and so the next term will be -19
If you mean -1 3 7 11 15 then the nth term is 4n-5 and so the next term will be 19
2n+3. If 5 is the first term, then it is 2n + 3 (2×1 = 2 + 3 = 5 and 2×2 + 3 = 7)
Un = (-1)n*(2n - 1)
The nth term is: 5-2n
The nth term of the sequence is 2n + 1.
It is: nth term = 5-4n and so the next term will be -19
If you mean -1 3 7 11 15 then the nth term is 4n-5 and so the next term will be 19
Un = 4n - 9
5 first terms in n²+3
IT is A.P. Arithmetic progressionFormula to solven th term = First_term + ( n - 1)*difference_between_two_non=9first term=7difference_between_two_no = nth_term - (n-1)th_term = 5-7 = 3-5 =1-3 = -2nth term = 7+8*(-2) = -9Another Answer:-The nth term = 9-2n
The nth term is 4n - 3
12 - 5(n-1)
2n+3. If 5 is the first term, then it is 2n + 3 (2×1 = 2 + 3 = 5 and 2×2 + 3 = 7)
Un = (-1)n*(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.