The given sequence is an arithmetic sequence with a common difference of 8. To find the formula for 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 position of the term, and (d) is the common difference. In this case, the first term ((a_1)) is 14, and the common difference ((d)) is 8. Therefore, the formula for the nth term of this sequence is (a_n = 14 + 8(n-1)).
The given sequence is decreasing by 2 each time, starting from 12. To find the nth term, we can use the formula for 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 term number, and (d) is the common difference. In this case, (a_1 = 12), (d = -2), and we need to find the general formula for the nth term. Therefore, the nth term for the sequence 12 10 8 6 4 is (a_n = 12 + (n-1)(-2)), which simplifies to (a_n = 14 - 2n).
This is an arithmetic sequence which starts at 14, a = 14, and with a common difference of -1, d = -1. We can use the nth term formula an = a + (n - 1)d to get an = 14 + (n - 1)(-1) = 14 - n + 1 = 15 - n.
Tn = 10 + n2
To find the nth term of a sequence, we first need to find the pattern or rule that governs the sequence. By examining the differences between consecutive terms, we can see that the sequence is increasing by 6, 10, 14, 18, and so on. This means that the nth term is given by the formula n^2 + 4, where n represents the position of the term in the sequence.
The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)
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 given sequence (7, 14, 21, 28, 35,....) is an arithmetic sequence where each term increases by 7. The nth term of the given sequence is 7n
The sequence 9, 14, 25, 42, 65, 94 can be represented by the Nth term formula ( a_n = n^3 + 5n ). This formula generates the sequence for ( n = 1, 2, 3, 4, 5, 6 ), yielding the respective terms. Each term corresponds to the input value of ( n ) in the formula.
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 ).
The given sequence is decreasing by 2 each time, starting from 12. To find the nth term, we can use the formula for 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 term number, and (d) is the common difference. In this case, (a_1 = 12), (d = -2), and we need to find the general formula for the nth term. Therefore, the nth term for the sequence 12 10 8 6 4 is (a_n = 12 + (n-1)(-2)), which simplifies to (a_n = 14 - 2n).
This is an arithmetic sequence which starts at 14, a = 14, and with a common difference of -1, d = -1. We can use the nth term formula an = a + (n - 1)d to get an = 14 + (n - 1)(-1) = 14 - n + 1 = 15 - n.
They are: nth term = 6n-4 and the 14th term is 80
The sequence 12, 13, 14, 15 is an arithmetic sequence where each term increases by 1. The nth term can be expressed as ( a_n = 12 + (n - 1) \times 1 ), which simplifies to ( a_n = 11 + n ). Therefore, the nth term of the sequence is ( a_n = n + 11 ).
Tn = 10 + n2
To find the nth term of a sequence, we first need to find the pattern or rule that governs the sequence. By examining the differences between consecutive terms, we can see that the sequence is increasing by 6, 10, 14, 18, and so on. This means that the nth term is given by the formula n^2 + 4, where n represents the position of the term in the sequence.
Clearly here the nth term isn't n25.
The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)