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No, the sequence 3, 6, 12, 24 is not an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms is constant. Here, the differences are 3 (6-3), 6 (12-6), and 12 (24-12), which are not the same. This sequence is actually a geometric sequence, as each term is multiplied by 2 to get the next term.
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What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
Identify the next three terms in the arithmetic sequence 9 12 17 24 and hellip?
To find the next three terms in the sequence 9, 12, 17, 24, we first identify the differences between consecutive terms: 12 - 9 = 3, 17 - 12 = 5, and 24 - 17 = 7. The differences themselves form an increasing arithmetic sequence: 3, 5, 7. Continuing this pattern, the next differences would be 9, 11, and 13, leading to the subsequent terms being 24 + 9 = 33, 33 + 11 = 44, and 44 + 13 = 57. Therefore, the next three terms are 33, 44, and 57.
Is 8765 and 4 an arithmetic sequence?
In order to determine whether or not this is an arithmetic sequence, there must be at least 3 numbers.
How do you Find the 18 term of the arithmetic sequence 3101724...?
To find the 18th term of the arithmetic sequence 3, 10, 17, 24..., first, identify the common difference. The difference between consecutive terms is 7 (10 - 3, 17 - 10, 24 - 17). The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 18th term: ( a_{18} = 3 + (18 - 1) \times 7 = 3 + 119 = 122 ).
What is the next number in the sequence 12-6-3?
The next is 3.
Is 3 6 12 24 48 an arithmetic sequence?
No, geometric, common ratio 2
What is the 33rd term of this arithmetic sequence 12 7 2 -3 -8 and?
It is -148.
Is 1 2 3 4 5 an arithmetic sequence?
It is the start of an arithmetic sequence.
What is the sequence of 361224?
If one may choose the break points, it looks like simple doubling: 3 - 6 - 12 - 24
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
Identify the next three terms in the arithmetic sequence 9 12 17 24 and hellip?
To find the next three terms in the sequence 9, 12, 17, 24, we first identify the differences between consecutive terms: 12 - 9 = 3, 17 - 12 = 5, and 24 - 17 = 7. The differences themselves form an increasing arithmetic sequence: 3, 5, 7. Continuing this pattern, the next differences would be 9, 11, and 13, leading to the subsequent terms being 24 + 9 = 33, 33 + 11 = 44, and 44 + 13 = 57. Therefore, the next three terms are 33, 44, and 57.
Is 8765 and 4 an arithmetic sequence?
In order to determine whether or not this is an arithmetic sequence, there must be at least 3 numbers.
Is 2 6 18 54 an arithmetic sequence?
No it is not.U(2) - U(1) = 6 - 2 = 4U(3) - U(2) = 18 - 6 = 12Since 4 is different from 12, it is not an arithmetic sequence.
Is this an arithmetic sequence 3 3.1 3.14?
No, it is not.
Who was the founder of arithmetic sequence?
One of the simplest arithmetic arithmetic sequence is the counting numbers: 1, 2, 3, ... . The person who discovered that is prehistoric and, therefore, unknown.
How do you Find the 18 term of the arithmetic sequence 3101724...?
To find the 18th term of the arithmetic sequence 3, 10, 17, 24..., first, identify the common difference. The difference between consecutive terms is 7 (10 - 3, 17 - 10, 24 - 17). The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 18th term: ( a_{18} = 3 + (18 - 1) \times 7 = 3 + 119 = 122 ).
What is the next number in the sequence 12-6-3?
The next is 3.
