82
When n=30, 3n-1 = 89 .
This is an arithmetic sequence with the first term t1 = 1, and the common difference d = 6. So we can use the formula of finding the nth term of an arithmetic sequence, tn = t1 + (n - 1)d, to find the required 30th term. tn = t1 + (n - 1)d t30 = 1 + (30 - 1)6 = 175
3n - 7
It is Un = 3n - 7.
Un = 4n - 13.
The nth term of the sequence is 3n-8 and so the 30th term is 3*30 -8 = 82
When n=30, 3n-1 = 89 .
This is an arithmetic sequence with the first term t1 = 1, and the common difference d = 6. So we can use the formula of finding the nth term of an arithmetic sequence, tn = t1 + (n - 1)d, to find the required 30th term. tn = t1 + (n - 1)d t30 = 1 + (30 - 1)6 = 175
3n - 7
It is Un = 3n - 7.
Un = 4n - 13.
You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.
The answer depends on what information you have. If you know the first number, a, and the common difference d, (where d is negative), then the nth term is a + (n - 1)*d : exactly the same as in an increasing linear sequence. The only difference is that d is negative instead of positive.
There are infinitely many possible answers. The simplest, linear, rule is Un = 4n - 17 for n = 1, 2, 3, ...
The simplest, out of infinitely many possible answers, is the linear polynomial,U(n) = 4n - 1 for n = 1, 2, 3, ...
A linear equation/term is where the differences in a sequence of numbers is irregularExample:n 1 2 3 4 5 6 7 8linear 3 5 7 9 11 13 15 17Difference 2 2 2 2 2 2 2n 1 2 3 4 5 6 7 8non-linear 2 5 10 17 26 37 50 65Difference 3 5 7 9 11 13 15In this example the nth term for the linear sequence is 2n + 1 and for the non-linear sequence n squared + 1. Another way of seeing this is to make a line on a graph where the equation for the line is Y= 2X + 1 (replace n with X and put 'Y=' at the beginning) and this line will be straight as it's equation is LINEar whereas a non-LINEar equation will make a curve and not a line.
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.