2 5 10 17 26 37 50 65 82
(3+5+7+9+11...)
10-2x for x = 0, 1, 2, 3, ... Since the domain of an arithmetic sequence is the set of natural numbers, then the formula for the nth term of the given sequence with the first term 10 and the common difference -2 is an = a1 + (n -1)(-2) = 10 - 2n + 2 = 12 - 2n.
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
37
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
Say if you had the pattern 15 20 25 30 35 40 45 50 To find the nth term you have to see what the gap between the numbers is. In our case this is 5. Then you have to find out what the difference between the gap and the first number. In this sequence it is 10. So your answer would be..... 5n+10 That's how you find the nth term.
7
-5,120
The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.
The sequence progresses by adding 7 to the previous term.The nth term is thus equal to 10 + 7n. The 11th term therefore is equal to 10 + (7 * 11) = 10 + 77 = 87.
A sequence where a particular number is added to or subtracted from any term of the sequence to obtain the next term in the sequence. It is often call arithmetic progression, and therefore often written as A.P. An example would be: 2, 4, 6, 8, 10, ... In this sequence 2 is added to each term to obtain the next term.
6n+10
-34
7n - 4
10-2x for x = 0, 1, 2, 3, ... Since the domain of an arithmetic sequence is the set of natural numbers, then the formula for the nth term of the given sequence with the first term 10 and the common difference -2 is an = a1 + (n -1)(-2) = 10 - 2n + 2 = 12 - 2n.
50 Each term in the sequence is 5 times the previous term.
-34 would be the 15th term.
10