Try Un = n2
Try Un = n2
Try Un = n2
Try Un = n2
2(n-1)
> since the value rises by nine at each step and the first term is 12 the formula for > the nth term is: 12+(n-1)*9 Which simplifies to Sn = 9n + 3
It is: nth term = 29-7n
n-squared, or n to the power 2
The nth term is 4n-1 and so the next term will be 19
Formula for nth termTn = a + (4n - 1) {where a is the first term and n is natural number}
tn = n2
The Nth term formula for oblong numbers is N = N(N+1)
Tn = 1 + 3n
It is: nth term = 35-9n
The nth term is: 5-6n
The given sequence is an arithmetic sequence with a common difference of 6. To find the nth term of this sequence, we can use the following formula: nth term = first term + (n - 1) x common difference where n is the position of the term we want to find. In this sequence, the first term is 1 and the common difference is 6. Substituting these values into the formula, we get: nth term = 1 + (n - 1) x 6 nth term = 1 + 6n - 6 nth term = 6n - 5 Therefore, the nth term of the sequence 1, 7, 13, 19 is given by the formula 6n - 5.
To determine the nth term of the sequence 25, 16, 7, we first identify the pattern. The sequence appears to be decreasing by 9, then by 9 again, suggesting a consistent difference. This leads to a formula for the nth term: ( a_n = 34 - 9n ), where ( a_1 = 25 ) for n=1. Thus, the nth term can be expressed as ( a_n = 34 - 9n ).
The given sequence is an arithmetic sequence where each term decreases by 5. The first term (a) is -1 and the common difference (d) is -5. The nth term can be calculated using the formula ( a_n = a + (n-1)d ). Therefore, the nth term is ( a_n = -1 + (n-1)(-5) = -1 - 5(n-1) = -5n + 4 ).
The nth term is: 3n+1 and so the next number will be 16
The sequence given is -2, 4, -8, 16, which can be observed as alternating signs with each term being a power of 2 multiplied by -1. The nth term can be expressed as ( a_n = -2 \times (-2)^{n-1} ), or equivalently, ( a_n = -2^n ) if you account for the sign change. Thus, the nth term formula is ( a_n = -2^n ).
2(n-1)