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A solution for 4th difference sequence is:
Formula: Tn = an4+ bn3+ cn2 + dn + e
1st term = a + b + c + d + e
1st difference = 15a + 7b + 3c + d
2nd difference = 50a + 12b + 2c
3rd difference = 60a + 6b
4th difference = 24a
Example:
Tn (term number) = 1 2 3 4 5 6 7
Sequence = 1 41 209 643 1529 3101 5641
1st difference = 40 168 434 886 1572 2540
2nd difference = 128 266 452 686 968
3rd difference = 138 186 234 282
4th difference = 48 48 48
Step 1: 4th difference = 24a:
24a = 48
a = 2
Step 2: 3rd difference = 60a + 6b:
60(2) + 6b = 138
b = 3
Step 3: 2nd difference = 50a + 12b + 2c:
50(2) + 12(3) + 2c = 128
c = -4
Step 4: 1st difference = 15a + 7b + 3c + d:
15(2) + 7(3) + 3(-4) + d = 40
d = 1
Step 5: 1st 1st term = a + b + c + d + e:
2 + 3 - 4 + 1 + e = 1
e = -1
Answer:
Tn = 2n4+ 3n3- 4n2 + n - 1
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A sequence has nth term formula 3n+5. What is the fourth term?
8
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In this case, 22 would have the value of 11.
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arithmetic sequence
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An arithmetic sequence.
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what is the recursive formula for this geometric sequence?
A sequence has nth term formula 3n+5. What is the fourth term?
8
How do you find out the formula for a Quadratic Sequence?
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.
Is one one fourth one seventh one tenth a arithemtic sequence?
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no not every sequence has a formula associated with it.
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You take the difference between the second and first numbers.Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.Keep checking until you think the differences are all the same.That being the case it is an arithmetic sequence.If you have a position to value rule that is linear then it is an arithmetic sequence.
How do you find the nth term in a sequence?
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How do you create a sequence in which 1 and one fourth is added to each number?
To form a linear (or arithmetic) sequence you need two things: a starting value and the common difference. You have provided the common difference but not the starting value. If the starting value was a, then the nth term in the sequence would beT(n) = a + 5/4*(n - 1).
A certain arithmetic sequence has the recursive formula If the common difference between the terms of the sequence is -11 what term follows the term that has the value 11?
In this case, 22 would have the value of 11.
What is the nth term for 1 7 13 19?
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What is the simple formula corresponding to the explicit formula if the first term of the sequence is -10 and the difference between terms in the sequence is 3?
Assuming each term is 3 MORE than the previous term t(n) = -13 + 3*n where n = 1, 2, 3, ...
How do you factor x to the fourth power minus twenty five?
There is a formula for the "difference of squares." In this case, the answer is (x2 - 5)(x2 + 5)
