48
90
It is: -3072
It is 60.
It is: nth term = 29-7n
It works out as -5 for each consecutive term
90
90
-34
It is: -3072
It is: -3072
36
To find the value of the nth term in an arithmetic sequence, you can use the formula: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference between terms. In this sequence, the first term (a_1 = 12) and the common difference (d = -6 - 0 = -6). So, the formula becomes (a_n = 12 + (n-1)(-6)). Simplifying this gives (a_n = 12 - 6n + 6). Therefore, the value of the nth term in this arithmetic sequence is (a_n = 18 - 6n).
A term of a sequence refers to an individual element or value within that sequence. Sequences are ordered lists of numbers or objects, where each term is identified by its position, typically denoted by an index. For example, in the sequence 2, 4, 6, 8, the numbers 2, 4, 6, and 8 are all terms of the sequence. The position of each term can be expressed using natural numbers, starting from 1 for the first term.
I believe the answer is: 11 + 6(n-1) Since the sequence increases by 6 each term we can find the value of the nth term by multiplying n-1 times 6. Then we add 11 since it is the starting point of the sequence. The formula for an arithmetic sequence: a_{n}=a_{1}+(n-1)d
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
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.
To find the common ration in a geometric sequence, divide one term by its preceding term: r = -18 ÷ 6 = -3 r = 54 ÷ -18 = -3 r = -162 ÷ 54 = -3