This discussion is now closed.
Check out other Related discussions
- The nth term of a sequence is n^2+n
- Arithmetic series- sum of first ten terms is 460
- Question about Un = Sn - S(n-1) formula (Sequences and series)
- Do you think A Level Maths has enough proof in it?
- Proving a term is in a quadratic sequence
- Arithmetic sequence diverge or converge formula?
- Arithmetic or geometric sequence
- How do I use proof by induction on this, specifically using f(k+1)-f(k)?
- Maths - bouncing ball question
- a level maths first principle question
- A-level Edexcel Maths - Proofs
- Help with question
- gcse maths topic
- Math Proof Questions
- Advanced mathematics
- Connection between KEavg and KEtotal
- MAT practice
- Maths A level - Trignometric proof
- Probability Question
- A Level maths proof
Proof for nth term formula
Scroll to see replies
aacharyauk
OK -im really sorry. Right ummmmm
I used this formula to get the nth term of this series
1,3,6,10,15
here i had to look at the third difference to get a constant and hence the formula became
a + (n-1)d + (1/2)(n-1)(n-2)c1 + 1/6 (n-1)(n-2)(n-3)
and for this series
1, 5, 14, 30, 55
the formula remained as it was as at the second difference i had a constant.
Now i had to prove why this formula works for working out the nth term.
I used this formula to get the nth term of this series
1,3,6,10,15
here i had to look at the third difference to get a constant and hence the formula became
a + (n-1)d + (1/2)(n-1)(n-2)c1 + 1/6 (n-1)(n-2)(n-3)
and for this series
1, 5, 14, 30, 55
the formula remained as it was as at the second difference i had a constant.
Now i had to prove why this formula works for working out the nth term.
are these diagonals of the pascal triangle?
aacharyauk
OK -im really sorry. Right ummmmm
I used this formula to get the nth term of this series
1,3,6,10,15
here i had to look at the third difference to get a constant and hence the formula became
a + (n-1)d + (1/2)(n-1)(n-2)c1 + 1/6 (n-1)(n-2)(n-3)
and for this series
1, 5, 14, 30, 55
the formula remained as it was as at the second difference i had a constant.
Now i had to prove why this formula works for working out the nth term.
I used this formula to get the nth term of this series
1,3,6,10,15
here i had to look at the third difference to get a constant and hence the formula became
a + (n-1)d + (1/2)(n-1)(n-2)c1 + 1/6 (n-1)(n-2)(n-3)
and for this series
1, 5, 14, 30, 55
the formula remained as it was as at the second difference i had a constant.
Now i had to prove why this formula works for working out the nth term.
it should read - a + (n-1)d + (1/2)(n-1)(n-2)c1 + 1/6 (n-1)(n-2)(n-3)c2
u mean the coursework-
its somit bout squares in rectangles
its somit bout squares in rectangles
theone
The series 1,5, 14, 30, 55. has first difference 4, thus change in difference 5 between terms. But 14 + 14 is not equal to 30, am i missing something?
because it goes onto the third difference
the two sequences i gave u are completely separate
they dont link in any way between the two.
aacharyauk
because it goes onto the third difference
the two sequences i gave u are completely separate
they dont link in any way between the two.
the two sequences i gave u are completely separate
they dont link in any way between the two.
u dont need to fo 14+14
the first differences go 4,9,16,25 and the second differences go 5,7,9 and the third difference is constant at 2.
Eeek. I did that investigation and I had to find some degree level maths stuff about limits to prove my formula.
Actually, I don't think this wasn't the one I did. This isn't the fencing one is it?
Related discussions
- The nth term of a sequence is n^2+n
- Arithmetic series- sum of first ten terms is 460
- Question about Un = Sn - S(n-1) formula (Sequences and series)
- Do you think A Level Maths has enough proof in it?
- Proving a term is in a quadratic sequence
- Arithmetic sequence diverge or converge formula?
- Arithmetic or geometric sequence
- How do I use proof by induction on this, specifically using f(k+1)-f(k)?
- Maths - bouncing ball question
- a level maths first principle question
- A-level Edexcel Maths - Proofs
- Help with question
- gcse maths topic
- Math Proof Questions
- Advanced mathematics
- Connection between KEavg and KEtotal
- MAT practice
- Maths A level - Trignometric proof
- Probability Question
- A Level maths proof
Latest
Trending
Last reply 2 weeks ago
Rachel Reeves did the right thing in ending winter fuel paymentsLast reply 1 month ago
Should the UK introduce a mandatory working gap year for 18-year olds?Last reply 1 month ago
Russell Group universities are actually very good. We should stop dismissing them.
