Respuesta :
The kind of sequence shown 2, -1, -4, -7, -10, is definitely an arithmetic sequence.
What are sequences?
In mathematics, a sequence is a collection of numbers or items that have been organised in a certain order in accordance with a set of rules. These sequences, which might be endless or finite, are useful for simulating a variety of real-world processes. In addition to its practical uses, sequences are an essential mathematical notion that allows us to analyse patterns and relationships between numbers. We may edit and examine sequences to better understand their characteristics and behaviour by applying mathematical operations. Sequences are frequently used to investigate patterns and relationships between numbers, as well as to solve problems in a variety of mathematical disciplines such as algebra, calculus, and geometry. Arithmetic sequences, geometric sequences, recursive sequence are a few examples of frequent sequence types.
How to solve?
In an arithmetic sequence, the difference between any two consecutive terms is constant.
In the given sequence, the difference between any two consecutive terms is -3. i.e.,
d = -10 - (-7) = -7 -(-4) = -4 - (-1) = -1 - (2) = -3
Therefore, the sequence is an arithmetic sequence.
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