It is no more or n less significant than many other sequences.
A geometric sequence is : a•r^n while a quadratic sequence is a• n^2 + b•n + c So the answer is no, unless we are talking about an infinite sequence of zeros which strictly speaking is both a geometric and a quadratic sequence.
To find the nth term in a quadratic sequence, first identify the first and second differences of the sequence. The second difference should be constant for a quadratic sequence. Use this constant to determine the leading coefficient of the quadratic equation, which is half of the second difference. Next, use the first term and the first difference to derive the complete quadratic formula in the form ( an^2 + bn + c ) by solving for coefficients ( a ), ( b ), and ( c ) using known terms of the sequence.
You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
It isn't clear what you want to justify.
No. It is a sequence for which the rule is a quadratic expression.
A geometric sequence is : a•r^n while a quadratic sequence is a• n^2 + b•n + c So the answer is no, unless we are talking about an infinite sequence of zeros which strictly speaking is both a geometric and a quadratic sequence.
No.
You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.
These are called the second differences. If they are all the same (non-zero) then the original sequence is a quadratic.
It isn't clear what you want to justify.
To find the nth term in a quadratic sequence, we first need to determine the pattern. In this case, the difference between consecutive terms is increasing by 3, 5, 7, 9, and so on. This indicates a quadratic sequence. To find the 9th term, we need to use the formula for the nth term of a quadratic sequence, which is given by: Tn = an^2 + bn + c. By plugging in n=9 and solving for the 9th term, we can find that the 9th term in this quadratic sequence is 74.
94 and you skip it by 8's
nevermind i got it!!
A Quadratic Sequence is when the difference between two terms changes each step. However the secondary difference (the difference between each primary difference.) is always the same. E.G. 6 9 14 21 +3 +5 +7 primary difference.(changes) +2 +2 secondary difference(stays the same) this is not a linear sequence in which the primary difference stays the same. another way to visualise this is on a graph. if you plotted a quadratic sequence onto a graph there would be a curve. a linear sequence would be a straight line. hope this helps. Thanks To harisdagr8 for his help.
50. Fit the quadratic Un = 6.5n2 - 16.5n + 12