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One answer is:
t{n} = (59n⁵ - 885n⁴ + 5015n³ - 13275n² + 15446n - 4800)/120
Which gives:
t1 = (59 - 885 + 5015 - 13275 + 15446 - 4800)/120 = 1560/120 = 13
t2 = (59×32 - 885×16 + 5015×8 - 13275×4 + 15446×2 - 4800)/120 = 840/120 = 7
t3 = (59×243 - 885×81 + 5015×27 - 13275×9 + 15446×3 - 4800)/120 = 120/120 = 1
t4 = (59×1024 - 885×256 + 5015×64 - 13275×16 + 15446×3 - 4800)/120 = -600/120 = -5
t5 = (59×3125 - 885×625 + 5015×125 - 13275×25 + 15446×4 - 4800)/120 = -1320/120 = -11
t6 = (59×7776 - 885×1296 + 5015×216 - 13275×36 + 15446×5 - 4800)/120 = 5040/120 = 42
However, I expect your teacher is wanting the much simpler:
t{n} = 19 - 6n
which also gives t{1..5} = {13, 7, 1, -5, -11} but gives a different t6 = -17
The above formulae are only valid for n = 1, 2, ..., 5 as t6 is different.
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2n + 1
What is the nth term of -9 -5-1 3 7?
It is 4n-13 and so the next number will be 11
What is the formula for the nth term of this sequence -1-7-13-19-25?
The nth term is: 5-6n
What is the nth term of this sequence 3 5 7 9 11?
The nth term of the sequence is 2n + 1.
What is the nth term rule of the linear sequence -9 -5 -1 3 7 ...?
Un = 4n - 13.
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2n + 1
What is the nth term of -9 -5-1 3 7?
It is 4n-13 and so the next number will be 11
What is the nth term for the expression -1 3 -5 7 -9 11 -13 15?
(2n-1)(-1)n
Nth term for 11 ,31,51,72?
The given sequence is 11, 31, 51, 72 The nth term of this sequence can be expressed as an = 11 + (n - 1) × 20 Therefore, the nth term is 11 + (n - 1) × 20, where n is the position of the term in the sequence.
What is the formula for the nth term of this sequence -1-7-13-19-25?
The nth term is: 5-6n
What is the nth term of this sequence 3 5 7 9 11?
The nth term of the sequence is 2n + 1.
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 rule of the linear sequence -9 -5 -1 3 7 ...?
Un = 4n - 13.
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 of 4 7 10 13...?
The nth term is: 3n+1 and so the next number will be 16
What is the nth term of 9 11 13 15 17?
The sequence is simply achieved by adding 2 to each value9+2=1111+2=1313+2=1515+2=1717+2=1919+2=21so the nth term can be calculatedThe value of the nth term = the value of (nth-1 term) +2.
What is the nth term for the sequences 7 13 19 25?
The nth term is 6n+1 and so the next term will be 31
