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This is an Arithmetic Progression or Sequence with an Initial Term (a) of 10 and a Common Difference (d) of -3
The standard formula is U(n) = a + (n - 1)d
Substituting the values for a and d gives :-
U(n) = 10 + [(n - 1) x (-3)] = 10 - 3n + 3
We can write this as, 13 - 3n but it is common practice to retain the initial term (10)............so, U(n) = 10 - 3(n - 1)
Then U(5) = 10 - 3(5 - 1) = 10 - 12 = -2 which confirms the value shown in the question.
What else can I help you with?
What is the position to term rule of 8 18 28 38?
If the term number is n, then the nth term is 10(n-1) +8.
What is the position to term rule for 1 5 9 13 17?
The nth term is 4n - 3
What is the nth term for 11 21 31 41?
10n + 1
What is the next number in the series 1 45 104 1034?
It could be 3691. Use the position to term rule: t(n) = (856n3 - 5091n2 + 9545n - 5304)/6 for n = 1, 2, 3, ...
What is the term to term rule for the sequence 1 5 13 29 61 125?
PRIME
What is the position to term rule of 8 18 28 38?
If the term number is n, then the nth term is 10(n-1) +8.
What is the position to term rule for 1 5 9 13 17?
The nth term is 4n - 3
What is the position-to-term rule of 2 5 8?
1 2 3 4 5 2 5 8 11 14 ... If this is the sequence, the position-to-term rule is 3n-1. However, it could be another sequence depending on the rest of the terms.
What is the position to term rule of 2 5 8 11 14 17?
term n = 3n - 1 for n = 1, 2, 3, ...
What is the position to term rule in maths?
The position to term rule in mathematics refers to a method used to identify the terms of a sequence based on their position or index. For example, in an arithmetic sequence, the nth term can be expressed as a linear function of n, typically in the form (a_n = a + (n-1)d), where (a) is the first term and (d) is the common difference. This rule helps in finding specific terms without listing the entire sequence. It's also applicable in other types of sequences, such as geometric sequences, where the nth term is determined by a different formula.
What are the position to term rule of 48 46 44 42 40?
t(n) = 50 - 2n where n = 1, 2, 3, ...
What is the first fourth and tenth terms of the arithmetic sequence described by the given rule. A(n) 1 plus (n and ndash 1)( and ndash4.1)?
To find the first, fourth, and tenth terms of the arithmetic sequence defined by the rule ( A(n) = 1 + (n - 1)(-4.1) ), we can substitute ( n ) with 1, 4, and 10. For ( n = 1 ): ( A(1) = 1 + (1 - 1)(-4.1) = 1 ). For ( n = 4 ): ( A(4) = 1 + (4 - 1)(-4.1) = 1 - 12.3 = -11.3 ). For ( n = 10 ): ( A(10) = 1 + (10 - 1)(-4.1) = 1 - 36.9 = -35.9 ). Thus, the first term is 1, the fourth term is -11.3, and the tenth term is -35.9.
A sequence of numbers was generated using the rule 3N minus 2 where n represents a numbers position in the sequence. Write a sequence that fits this rule?
1, 4, 7, 10, 13, …
What does term to term rule mean in maths?
Term to Term rule in Maths is how much you go up or down in. e.g 1,2,3,4,5,6 would be +1
What is the nth term for 11 21 31 41?
10n + 1
What is the rule for this pattern 1-8-27-64-125?
The pattern consists of the cubes of consecutive integers. Specifically, the numbers are (1^3), (2^3), (3^3), (4^3), and (5^3), resulting in 1, 8, 27, 64, and 125, respectively. The rule for this pattern is that each term is equal to (n^3), where (n) is the position of the term in the sequence (starting from 1).
What is the pattern rule for 4 -4 4 -4 pattern?
The rule is multiply the previous term by -1 to find the next term.
