yes
0.5n(n+1)
1, 3, 6, 10, ... The nth term is n*(n+1)/2
It is an expression used in the context of sequences and refers to a way of expressing any term in the sequence using an index or counter. It is often called the nth term.
work it out it's one more than the 8th and one less than the 10th * * * * * The above answer seems to make no sense here. It is not clear what you mean by a fraction sequence. It is not possible to go through the process for finding the nth term in an arithmetic, geometric or power sequence here. For school mathematics, sequences of fractions are, in fact composed of two simple sequences. One sequence defines the numerators and the other defines the denominators. In such cases, the nth term of the fraction sequence is the fraction given by the nth term of the numerator sequence divided by the nth term of the denominator sequence. For example: 1/1, 3/4, 5/9, 7/16, 9/25, ... The numerators are the odd number, with t(n) = 2n-1 The denominators are the squares of natural numbers with u(n) = n2 So, the nth term of the fraction sequence is (2n-1)/n2.
nth term = 5 +8n
yes
0.5n(n+1)
The nth term is 6n+1 and so the next term will be 31
Sn = 3n2 + 2n - 8
1, 3, 6, 10, ... The nth term is n*(n+1)/2
In the study of sequences, given a number n, the position to term rule tells you how the nth term of the sequence is calculated.
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
It is an expression used in the context of sequences and refers to a way of expressing any term in the sequence using an index or counter. It is often called the nth term.
A group of numbers in order. Usually, when talking about sequences, people talk about infinite sequences: a sequence that never ends (it has a first number, a second number, and an Nth number for any N, with no last number). There's no restriction of what the numbers are - they can be anything, and don't have to follow any pattern. But in practice, if you want to talk about a specific sequence, you'd need some rule for calculating the numbers in it. For example, you could have the sequence whose Nth term is 1/N. Sometimes sequences are taken to start with a 0th term rather than a first term. This is a question of notation, and doesn't really change anything about how sequences work. You can also think of a sequence as a function from the natural numbers {1,2,3,...} or {0,1,2,3,...} to whatever the sequence is of (usually real numbers, or sometimes complex numbers). For this reason, sequences are also called arithmetical functions. The most common way to write the nth term of a sequence is an (for one sequence; if you need to talk about more sequences, you'd write bn or cn)
The nth term is Un = a + (n-1)*d where a = U1 is the first term, and d is the common difference.
This is an arithmetic sequence with initial term a = 3 and common difference d = 2. Using the nth term formula for arithmetic sequences an = a + (n - 1)d we get an = 3 + (n - 1)(2) = 2n - 2 + 3 = 2n + 1.