T(n) = 12 - n2
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7n - 3
It is: 25-7n
Un = 25 - 7n
The nth term is 7n-3 and so the next term will be 39
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