To find out the equation for a sequence, the first thing you note is the difference between the numbers. In this case the difference is:
-8, -8, -8, -8
Thus the formula will be x-8n where x is not yet known.
For linear sequences like the one above, x is the 0th term. In this case it would be the term that would come before 22, or 22+8, or 30.
Thus the equation for the nth term is 30-8n
The nth term is 3n+7 and so the next number will be 22
The sequence has a difference of 10, so the nth term starts with 10n. Then to get to -8 from 10 you need to subtract 18. So the nth term is 10n - 18.
6n+10
You must mean what is the next number in the series, not the 'nth', which is undefined. The next number is 58.
3n+7
1,7,13,19
The given sequence is 22, 14, 6, -2, -10. To find the nth term, we observe that the sequence decreases by 8, 8, 8, and so on. This indicates a linear relationship with a common difference of -8. The formula for the nth term can be expressed as ( a_n = 22 - 8(n - 1) ), which simplifies to ( a_n = 30 - 8n ).
The nth term is 3n+7 and so the next number will be 22
The sequence has a difference of 10, so the nth term starts with 10n. Then to get to -8 from 10 you need to subtract 18. So the nth term is 10n - 18.
t(n) = 22 - 6n where n = 1, 2, 3, ...Answer:-14 is the next term in the above series
6n+10
It is: -6n+22
You must mean what is the next number in the series, not the 'nth', which is undefined. The next number is 58.
If you meant: 2 12 22 32 then the nth term = 10n-8
To find the nth term of the sequence 5, 15, 29, 47, 69, we first determine the differences between consecutive terms: 10, 14, 18, and 22. The second differences are constant at 4, indicating that the nth term is a quadratic function. By fitting the quadratic formula ( an^2 + bn + c ) to the sequence, we find that the nth term is ( 2n^2 + 3n ). Thus, the nth term of the sequence is ( 2n^2 + 3n ).
It is: nth term = 29-7n
3n+7