An arithmetic sequence
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term is obtained by adding 3 to the previous term.
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, each term is obtained by adding 3 to the previous term. This consistent pattern defines the arithmetic nature of the sequence.
That's an arithmetic sequence.
a sequence in which each term is found by adding the same number
The concept you're describing is known as a geometric sequence, where each term is found by multiplying the previous term by a constant factor, called the common ratio. For example, in the sequence 2, 6, 18, 54, each term is obtained by multiplying the previous term by 3. This type of sequence can grow rapidly, depending on the value of the common ratio.
If I understand your question, you are asking what kind of sequence is one where each term is the previous term times a constant. The answer is, a geometric sequence.
It is a sequence of numbers which is called an arithmetic, or linear, sequence.
Each number in this sequence is twice the previous number. The nth. term is 2n-1.Each number in this sequence is twice the previous number. The nth. term is 2n-1.Each number in this sequence is twice the previous number. The nth. term is 2n-1.Each number in this sequence is twice the previous number. The nth. term is 2n-1.
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term is obtained by adding 3 to the previous term.
A sequence in which each term is found by adding the same number to the previous term is called an arithmetic sequence. In this type of sequence, the difference between consecutive terms, known as the common difference, remains constant. For example, in the sequence 2, 5, 8, 11, each term is obtained by adding 3 to the previous term. This consistent pattern defines the arithmetic nature of the sequence.
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That's an arithmetic sequence.
a sequence in which each term is found by adding the same number
It is the square of the previous term.
Adding the same number to a previous number would double the answer. Multiplying by 2 would achieve the same doubling result. What is meant by 'term'?Found by adding the same number to the previous term
The square of the previous term.
Sounds like a Geometric Progression eg 1-3-9-27-81 etc