find the n th term
2007-02-24 04:56:26 · 8 answers · asked by ravendra s 1 in Science & Mathematics ➔ Mathematics
nth term is (or rather, can be described by):
f(n) = -n^4/24 + 5n^3/12 - 23n^2/24 + 43n/12 - 1
note that f(1)=2; f(2)=5, f(3)=9, f(4)=14, & f(5)=19
There are in fact an infinite number of polynomials (with degree > 4) which will describe the given data. The fourth degree polynomial shown above is the one of least degree.
NOTE TO sg_iit: your equation does not work at n=5
NOTE TO Minski: your pattern fails at n=5 as well.
why do others insist on the question being "wrong", rather than their answer?
2007-02-24 05:30:37 · answer #1 · answered by Scott R 6 · 2⤊ 0⤋
seem on the varieties. For the right of the fractions you have 3,5,7,9,11. you basically upload 2 to 11 and you get 13. For the bottow you have 4,9,14,19,24. you basically upload 5 to 24 and get 29. So the respond could be 13/29 oh woops discover the nth term yeah meh forget approximately it everybody already replied
2016-11-25 20:54:47 · answer #2 · answered by Anonymous · 0⤊ 0⤋
nth term,
formula for nth term is ,
tn=a+(n-1)d
where a is the first no. of the series and d is the differnce between two no.
therefore a =2 & d=5-2=3
applying the formula
tn =2+(n-1)3
=2+3n-3
=3n-1
so nth term of the series is 3n-1
2007-02-24 16:30:18 · answer #3 · answered by Payal T 1 · 0⤊ 2⤋
I think there should be 20 instead of 19 in the sequence.
try this formula:
nth term= n+(n-1)st term+1
2007-02-28 02:31:24 · answer #4 · answered by JanV 2 · 0⤊ 0⤋
your question should have 20 instead of 19 i think, so that the difference proceeds as 3,4,5,6 etc.
you can generalise it as
nth term tn = n + tn-1
tn-1= n-1+ tn-2
and so on
2007-02-24 19:13:51 · answer #5 · answered by vaidehi 2 · 0⤊ 1⤋
Are you sure that ur Question is correct ???? I doubt about the 5th term i.e. 19..............
difference between consecutive nos. is increasing. Then it should be 6 after 14...i.e. 5th term shuld be 20.
My answer works for that case.....if ur question is correct then the answer might be obtained by curve fitting.....
Tn = n * (n+3)/2
This will work only if u correct the question.
2007-02-24 05:48:10 · answer #6 · answered by Anonymous · 1⤊ 2⤋
pattern is add each sequencial number: +1,+2,+3,+4,+5,+6,+7 etc....... the ninth number in this term is 53.
2007-02-24 05:04:55 · answer #7 · answered by ? 4 · 0⤊ 2⤋
you have not given the value of n so how can we find the nth term
2007-02-24 05:05:00 · answer #8 · answered by AaSHEK 4 · 0⤊ 3⤋