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What is the formula for the general term of the arithmetic sequence?
an = a1 + d(n - 1)
What is the nth term formula to 3 7 11?
The sequence 3, 7, 11 is an arithmetic sequence where the first term is 3 and the common difference is 4. The nth term formula for an arithmetic sequence can be expressed as ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Substituting the values, the nth term formula for this sequence is ( a_n = 3 + (n - 1) \cdot 4 ), which simplifies to ( a_n = 4n - 1 ).
How do you work out the 20th term of a sequence?
To find the 20th term of a sequence, first identify the pattern or formula that defines the sequence. This could be an arithmetic sequence, where each term increases by a constant difference, or a geometric sequence, where each term is multiplied by a constant factor. Once the formula is established, substitute 20 into the formula to calculate the 20th term. If the sequence is defined recursively, apply the recursive relation to compute the 20th term based on the previous terms.
What are two ways of representing an arithmetic sequence?
An arithmetic sequence can be represented using a formula, typically in the form (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (d) is the common difference, and (n) is the term number. Additionally, an arithmetic sequence can be represented as a list of its terms, such as {a1, a2, a3, ..., an}, where each term increases by the common difference (d).
How do you determine a arithmetic sequence?
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
What is the formula for nth term?
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
Which choice is the simple formula for the nth term what arithmetic sequence 6 2 -2 -6 -10?
10 - 4n
What is the formula for the general term of the arithmetic sequence?
an = a1 + d(n - 1)
The simple formula for the nth term of an arithmetic sequence is an equals 4n plus 16 What is the explicit formula corresponding to the simple formula?
The explicit formula for an arithmetic sequence is given by an = a1 + (n-1)d, where a1 is the first term and d is the common difference. In this case, the first term a1 is 16, and the common difference d is 4. Therefore, the explicit formula for the arithmetic sequence is an = 16 + 4(n-1) = 4n + 12.
What Find the 90th term of the arithmetic sequence 16,21,26?
The 90th term of the arithmetic sequence is 461
What is the Th term of the arithmetic sequence given by the explicit rule?
The answer depends on what the explicit rule is!
Which is the term number when the term value is 53?
To find the term number when the term value is 53 in a sequence, you need to know the pattern or formula of the sequence. If it is an arithmetic sequence with a common difference of d, you can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_n ) is the nth term, ( a_1 ) is the first term, and d is the common difference. By plugging in the values, you can solve for the term number.
What is the nth term formula to 3 7 11?
The sequence 3, 7, 11 is an arithmetic sequence where the first term is 3 and the common difference is 4. The nth term formula for an arithmetic sequence can be expressed as ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Substituting the values, the nth term formula for this sequence is ( a_n = 3 + (n - 1) \cdot 4 ), which simplifies to ( a_n = 4n - 1 ).
What is the formula for the nth term of this sequence 17 29 41 53 65 77?
t(n) = 12*n + 5
What is an nth term in an arithmetic sequence?
The nth term is referring to any term in the arithmetic sequence. You would figure out the formula an = a1+(n-1)d-10where an is your y-value, a1 is your first term in a number sequence (your x-value), n is the term you're trying to find, and d is the amount you're increasing by.
What is the formula for the nth term of this sequence 14 22 30 38 46?
Oh, dude, you're hitting me with the math questions, huh? So, the formula for finding the nth term of an arithmetic sequence is a + (n-1)d, where a is the first term and d is the common difference. In this sequence, the common difference is 8 (because each term increases by 8), and the first term is 14. So, the formula for the nth term would be 14 + 8(n-1). You're welcome.
What are two ways of representing an arithmetic sequence?
An arithmetic sequence can be represented using a formula, typically in the form (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (d) is the common difference, and (n) is the term number. Additionally, an arithmetic sequence can be represented as a list of its terms, such as {a1, a2, a3, ..., an}, where each term increases by the common difference (d).
