123456
Which sequence? Oh, that one! The first three terms are 1, 2 and 72.
3
the first 4 terms of the sequence which has the nth term is a sequence of numbers that that goe together eg. 8,12,16,20,24 the nth term would be 4n+4
nth term is 8 - n. an = 8 - n, so the sequence is {7, 6, 5, 4, 3, 2,...} (this is a decreasing sequence since the successor term is smaller than the nth term). So, the sum of first six terms of the sequence is 27.
yup
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
arithmetic sequence this is wrong
A quadratic sequence is a sequence of numbers in which the difference between consecutive terms changes at a constant rate. To identify the rule, first calculate the first differences (the differences between consecutive terms) and then the second differences (the differences of the first differences). If the second differences are constant, the sequence is quadratic. The general form of a quadratic sequence can be expressed as ( an^2 + bn + c ), where ( n ) is the term number, and ( a ), ( b ), and ( c ) are constants.
Ratio
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
in math ,algebra, arithmetic
Consecutive terms refer to items that follow one another in a specific sequence without any gaps. In mathematics, this often pertains to numbers or terms in a sequence, such as consecutive integers (e.g., 1, 2, 3) or terms in a series. In other contexts, such as scheduling, consecutive terms might refer to events or periods that occur one after the other without interruption. Overall, the concept emphasizes the continuity and direct succession of elements.
The next in a pattern or sequence. Consecutive even numbers are 22, 24 and 26. 85, 86 and 87 are consecutive integers.
The next in a pattern or sequence. Consecutive even numbers are 22, 24 and 26. 85, 86 and 87 are consecutive integers.
In a geometric sequence, the ratio between consecutive terms is constant. This means that each term can be obtained by multiplying the previous term by a fixed, non-zero number called the common ratio. For example, in the sequence 2, 6, 18, the ratio is consistently 3, as each term is three times the preceding one. Thus, the defining characteristic of a geometric sequence is this consistent multiplicative relationship between consecutive terms.