U5 = a + 5n = 4
U7 = a + 7n = 10
Therefore 2n = 6 and so n = 3
and then a = 4 - 5n = 4 - 15 = -11
So Un = -11 + 3n
and therefore,
U10 = a + 10n = -11 + 10*3 = -11 + 30 = 19
The 90th term of the arithmetic sequence is 461
It is a + 8d where a is the first term and d is the common difference.
The difference between successive terms in an arithmetic sequence is a constant. Denote this by r. Suppose the first term is a. Then the nth term, of the sequence is given by t(n) = (a-r) + n*r or a + (n-1)*r
In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.
The nth term is 0.37n+0.5 and the 10th term is 4.2
-13
The sequence provided is an arithmetic sequence where the first term is 3 and the common difference is 2. The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 10th term, ( a_{10} = 3 + (10-1) \times 2 = 3 + 18 = 21 ). Thus, the 10th term of the sequence is 21.
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
The 90th term of the arithmetic sequence is 461
6
Since there are no graphs following, the answer is none of them.
We need help with answering this question.
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.
The nth term of an arithmetic sequence = a + [(n - 1) X d]
An arithmetic sequence
The sequence appears to be increasing by increments of 0.1 (that is, each term is 0.1 larger than the term before it). Therefore, the 10th and 11th terms would simply be 1.0 and 1.1. It should be noted, however, that more information is required to give a definitive answer; I do not know whether the sequence is arithmetic or, say, some variation of the Fibonacci sequence.
Arithmetic Sequence