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There are infinitely many formula that give the four terms {15, 12, 9, 6} for n = 1, 2, 3, 4; the way they continue after n=4 will be different.
The nth term is given by:
U{n} = (13n⁴ - 130n³ + 455n² - 674n + 456)/8
Which makes U{5} = 42.
However, I suspect that your teacher wants the much simpler formula for the Arithmetic Progression with the initial term of 15 and common difference of -3:
U{n} = 18 - 3n
According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid. Conversely, it is possible to find a rule such that any number of your choice can be the next one.
The simplest rule here, based on a linear expression, isT(n) = 18 - 3*n for n = 1, 2, 3, ...
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What is the nth term for 15 12 9 6?
3n
What is the nth term of 15 12 9 6.?
The nth term is 18 -3n and so the next term will be 3
What is the nth term for 7 11 15 19?
The nth term in this sequence is 4n + 3.
What is the nth term of the sequence 15 25 35 45 55?
15(1)
What is the nth term for 6 15 24 33?
nth term is 9n-3 and so the next term will be 42
What is the nth term for 15 12 9 6?
3n
What is the nth term of 15 12 9 6.?
The nth term is 18 -3n and so the next term will be 3
What is the pattern of 12 15 18 and 12 24 36?
For {12, 15, 18} each term is the previous term plus 3; a general formula for the nth term is given by t(n) = 3n + 9. For {12, 24, 36} each term is the previous term plus 12; a general formula for the nth term is given by t(n) = 12n.
What is the nth term for 7 11 15 19?
The nth term in this sequence is 4n + 3.
What is the nth term if the sequence is 22 15 8 1 -6?
It is: nth term = 29-7n
What is the nth term for 151173?
If you mean: 15 11 7 3 then the nth term is 19-4n
How do you find the nth term?
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.
What is the nth term of 1 -3 -7 -11 and -15?
It is: nth term = 5-4n and so the next term will be -19
What is the nth term in the sequence 3 7 11 15?
The nth term is 4n-1 and so the next term will be 19
What is the nth term in 1 3 7 11 15?
If you mean -1 3 7 11 15 then the nth term is 4n-5 and so the next term will be 19
What is the nth term of the sequence 15 25 35 45 55?
15(1)
What is the nth term of the arithmetic sequence 22 15 8 1 ...?
The nth term is -7n+29 and so the next term will be -6
