560
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.
10^(n-1)
It is: 2n+4
t(3) = 10 - 32 = 1
The nth term is (2n - 12).
It is: nth term = -4n+14
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.
The nth term of the sequence 2n + 1 is calculated by substituting n with the term number. So, the tenth term would be 2(10) + 1 = 20 + 1 = 21. Therefore, the tenth term of the sequence 2n + 1 is 21.
The nth term is 3n+7 and so the next number will be 22
The nth term is: 3n+1 and so the next number will be 16
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
560
The given sequence is an arithmetic sequence with a common difference of 6. To find the nth term of an arithmetic sequence, you can use the formula: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. In this case, the first term ((a_1)) is 10, the common difference ((d)) is 6, and the term number ((n)) is the position of the term you want to find. So, the nth term of this sequence would be (10 + (n-1)6).
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
The given sequence appears to be increasing by 10 each time. To find the nth term, we can use the formula for arithmetic sequences: nth term = first term + (n-1) * common difference. In this case, the first term is 4 and the common difference is 10. Therefore, the nth term for this sequence would be 4 + (n-1) * 10, which simplifies to 10n - 6.
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.