The nth term in the sequence -5, -7, -9, -11, -13 can be represented by the formula a_n = -2n - 3, where n is the position of the term in the sequence. In this case, the common difference between each term is -2, indicating a linear sequence. By substituting the position n into the formula, you can find the value of the nth term in the sequence.
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The given sequence is decreasing by 2 each time, so the pattern is -2. To find the nth term, 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 term number, and (d) is the common difference. In this case, the first term (a_1 = 11), the common difference (d = -2), and we want to find the nth term. So, the nth term formula becomes (a_n = 11 + (n-1)(-2) = 13 - 2n).
(2n-1)(-1)n
[ 25 - 6n ] is.
14+9n
It is: 5n+3 and so the next term is 28
It is: 2n+9
The nth term is: 2n+7 and so the next number will be 19
2n + 1
It is 4n-13 and so the next number will be 11
The nth term is 2n+5 and so the next number is 17
nth term = 5 +8n
The nth term is: 5-6n
Un = 4n - 13.
The first differences are 5, 7, 9, 11, 13 and the second differences are 2,2,2,2 so the formula for the nth term is a quadratic. tn = n2 + 2n - 2 (n = 1,2,3,...)
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
2n+5