0
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.
What else can I help you with?
What is the nth term for 3 5 7 9 11 13 15?
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.
What is the nth term for 3 5 7 9 11 13 15?
2n + 1
What is the nth term for the sequence 1 6 13 22 33?
The given sequence is 1, 6, 13, 22, 33. To find the nth term, we can observe that the differences between consecutive terms are 5, 7, 9, and 11, which indicates that the sequence is quadratic. The nth term can be expressed as ( a_n = n^2 + n ), where ( a_n ) is the nth term of the sequence. Thus, the formula for the nth term is ( a_n = n^2 + n ).
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 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 rule of the linear sequence -9 -5 -1 3 7 ...?
Un = 4n - 13.
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 for the sequences 7 13 19 25?
The nth term is 6n+1 and so the next term will be 31
