Assuming each term is 3 MORE than the previous term
t(n) = -13 + 3*n where n = 1, 2, 3, ...
something
A finite sequence has a beginning and an end, whereas an infinite sequence has no end.
A sequence of numbers in which the difference between any two consecutive terms is the same is called an arithmetic sequence or arithmetic progression. For example, in the sequence 2, 5, 8, 11, the common difference is 3. This consistent difference allows for predictable patterns and calculations within the sequence.
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
sequence number 5.5
An explicit rule defines the terms of a sequence in terms of some independent parameter. A recursive rule defines them in relation to values of the variable at some earlier stage(s) in the sequence.
The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.
clearly
explicit is clearly stated and implicit is not clearly stated
The explicit formula for a sequence is a formula that allows you to find the nth term of the sequence directly without having to find all the preceding terms. To find the explicit formula for a sequence, you need to identify the pattern or rule that governs the sequence. This can involve looking at the differences between consecutive terms, the ratios of consecutive terms, or any other mathematical relationship that exists within the sequence. Once you have identified the pattern, you can use it to create a formula that will generate any term in the sequence based on its position (n) in the sequence.
something
A finite sequence has a beginning and an end, whereas an infinite sequence has no end.
The common difference is the difference between two numbers in an arithmetic sequence.
A sequence of numbers in which the difference between any two consecutive terms is the same is called an arithmetic sequence or arithmetic progression. For example, in the sequence 2, 5, 8, 11, the common difference is 3. This consistent difference allows for predictable patterns and calculations within the 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.
Explicit is something precisely and clearly communicated, while implicit is something implied though not directly expressed.
the difference between sequence of development and rate of development and why is the difference important. speed at which development happen. The difference is important because speed does not necessarily have to do with the sequence also it's important to recognize the difference so you can identify where children need help or at risk.