The sequence given is an arithmetic sequence, where each term is obtained by adding a fixed difference to the previous term. The difference between consecutive terms is increasing by 3 each time (3, 5, 7, 9). To find the nth term of this sequence, we can use the formula for the nth term of an arithmetic sequence: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the position of the term, and (d) is the common difference. In this case, the first term is 6 and the common difference is increasing by 3 each time. So, the nth term for this sequence is (6 + (n-1)3), which simplifies to (3n + 3).
> since the value rises by nine at each step and the first term is 12 the formula for > the nth term is: 12+(n-1)*9 Which simplifies to Sn = 9n + 3
90
You can see that all the numbers go up by 7. This means that the first part of the nth term rule for this sequence is 7n. Now, you have to find out how to get from 7 to 3, 14 to 10, 21 to 17 ... this is because we are going up in the 7 times table. To get from the seventh times table to the sequence, you take away four. So the answer is : 7n-4
The nth term is 7n-5 and so the 6th term will be 37
Just plug in 30 for n in 3n-1. The answer is 89.
Clearly here the nth term isn't n25.
t(n) = 3n2 + n = n(3n + 1)
Looks like 57: 12+9=21, +9=30, +9=39, +9=48, +9=57.
Oh, dude, you're hitting me with the math questions, huh? So, the formula for finding the nth term of an arithmetic sequence is a + (n-1)d, where a is the first term and d is the common difference. In this sequence, the common difference is 8 (because each term increases by 8), and the first term is 14. So, the formula for the nth term would be 14 + 8(n-1). You're welcome.
> since the value rises by nine at each step and the first term is 12 the formula for > the nth term is: 12+(n-1)*9 Which simplifies to Sn = 9n + 3
90
There are infinitely many possible answers. But the simplest is Un = 33 - 3n for n = 1, 2, 3, ...
You can see that all the numbers go up by 7. This means that the first part of the nth term rule for this sequence is 7n. Now, you have to find out how to get from 7 to 3, 14 to 10, 21 to 17 ... this is because we are going up in the 7 times table. To get from the seventh times table to the sequence, you take away four. So the answer is : 7n-4
6n+10
When n=30, 3n-1 = 89 .
The nth term is 7n-5 and so the 6th term will be 37
Just plug in 30 for n in 3n-1. The answer is 89.