Difference is 5,7,9,11,13
Second difference is 2
(2x)^2 gives 4,9,16,25
Difference between 2x^2 and sequence is -5
Thus, the nth term will be (2n)^2-5
The nth term in this sequence is 4n + 3.
The nth term of the sequence is 2n + 1.
3 11
The nth term of the sequence is (n + 1)2 + 2.
10n + 1
The given sequence is 11, 31, 51, 72 The nth term of this sequence can be expressed as an = 11 + (n - 1) × 20 Therefore, the nth term is 11 + (n - 1) × 20, where n is the position of the term in the sequence.
The nth term in this sequence is 4n + 3.
The nth term of the sequence is 2n + 1.
One of the infinitely many possible rules for the nth term of the sequence is t(n) = 4n - 1
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.
The nth term is 4n-1 and so the next term will be 19
3 11
The nth term of the sequence is (n + 1)2 + 2.
10n + 1
The given sequence is an arithmetic sequence with a common difference of 7 (18-11=7, 25-18=7, and so on). 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 position of the term, and d is the common difference. In this case, the first term a_1 is 11 and the common difference d is 7. So, the nth term of this sequence is 11 + (n-1)7, which simplifies to 11 + 7n - 7, or 7n + 4.
The 'n'th term is [ 4 - 3n ].
The 'n'th term is [ 4 - 3n ].