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The general term of a sequence is a formula that describes the nth term of the sequence. In this case, the sequence alternates between 2 and 4. So, the general term can be expressed as a piecewise function: a_n = 2 if n is odd, and a_n = 4 if n is even. This formula represents the pattern of the sequence where every odd term is 2 and every even term is 4.
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What is the nth term of this sequence 2 8 18 32 50?
The nth term is 2n2. (One way to find that is to notice at all the numbers are even, then divide them by 2. The sequence becomes 1, 4, 9, 16, 25, which are the square numbers in order.)
What is the nth term of 4 10 28 82?
Oh, what a happy little sequence we have here! To find the pattern, we can see that each term is generated by multiplying the previous term by 2 and then adding 2. So, the nth term can be found using the formula 2^n * 2 - 2. Isn't that just a delightful little formula?
What is the sequence of 10 8 6 4?
10-2x for x = 0, 1, 2, 3, ... Since the domain of an arithmetic sequence is the set of natural numbers, then the formula for the nth term of the given sequence with the first term 10 and the common difference -2 is an = a1 + (n -1)(-2) = 10 - 2n + 2 = 12 - 2n.
What is the nth term if the sequence is 1491625?
36 Seems like: 1 4 9 16 25 is squared sequence: 1 2 3 4 5 So 6 squared will be 36.
What is the nth term for this sequence 4 7 13 22 34?
To find the nth term of a sequence, we first need to determine the pattern or rule that governs the sequence. In this case, the sequence appears to be increasing by adding consecutive odd numbers: 3, 6, 9, 12, and so on. Therefore, the nth term formula for this sequence is Tn = 3n^2 + n. So, the nth term for the sequence 4, 7, 13, 22, 34 is Tn = 3n^2 + n.
Is this arithmetic or geometric 2 4 8 16?
The sequence 2, 4, 8, 16 is a geometric sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant factor. In this case, each term is multiplied by 2 (2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16).
What is the nth term of the geometric sequence 4 8 16 32 ...?
The given sequence is a geometric sequence where each term is multiplied by 2 to get the next term. The first term (a) is 4, and the common ratio (r) is 2. The nth term of a geometric sequence can be found using the formula ( a_n = a \cdot r^{(n-1)} ). Therefore, the nth term of this sequence is ( 4 \cdot 2^{(n-1)} ).
What is the number sequence of 1 4 and 7?
The nth term of the sequence is 3n - 2.
What is the nth term formula for 4 6 8 10?
The sequence 4, 6, 8, 10 is an arithmetic sequence where each term increases by 2. The nth term formula can be expressed as ( a_n = 4 + (n - 1) \cdot 2 ). Simplifying this gives ( a_n = 2n + 2 ). Thus, the nth term of the sequence is ( 2n + 2 ).
What is the term-to-term rule for this sequence - 2 4 8 16 32?
What is the value of the 8th term of the sequence 4, 8, 16, 32,?what is the answers?1,024,512,128or2,048.
What is the next term of the sequence 2 4 8?
16
What are the first four terms of a sequence for 2n plus 4 divided by 2?
2n+4/2 term 1 = 3 term 2 = 4 term 3 = 5 term 4 = 6
What is the seventh term in the following sequence 1 -2 4 -8?
1 - 2 - 4 - 8 - 16 - 32 - 64 the sequence doubles
Give example of 5 term sequence identify the pattern use?
Consider the sequence: 2, 4, 6, 8, 10. The pattern in this sequence is that each term increases by 2 from the previous term. This is an example of an arithmetic sequence where the common difference is 2. The next term would be 12, continuing the pattern.
What is the nth term for the sequence 0 4 12 24 40?
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 4, then 8, then 12, then 16, and so on. This pattern suggests that the nth term can be represented by the formula n^2 + n, where n is the position of the term in the sequence. So, the nth term for the given sequence is n^2 + n.
What does sequence term mean in math?
In mathematics, a sequence term refers to an individual element or value within a sequence, which is an ordered list of numbers. Each term in a sequence is typically identified by its position, often denoted as (a_n), where (n) represents the term's index. For example, in the sequence 2, 4, 6, 8, the first term is 2, the second term is 4, and so on. Sequences can be finite or infinite and can follow specific patterns or rules.
What is the nth term for 4 2 0 -2?
To work out the equation of a sequence, you should first look at the differences in the sequence. In this case, the differences between the numbers are -2, -2, -2. Thus the equation for the sequence is x-2n To work out x, you need to find what the "0th term" would be, or the term that would come before 4. In this case, it would be 4+2=6. Therefore, the equation for the nth term is 6-2n
