The sequence progresses by adding 7 to the previous term.
The nth term is thus equal to 10 + 7n. The 11th term therefore is equal to 10 + (7 * 11) = 10 + 77 = 87.
7n - 4
The nth term is 7n-4 and so the next number in the sequence is 31
While there are not enough terms to be fully certain, it appears that the following numbers in the sequence are being multiplied by the nth term. Therefore, 24 x 5 = 120 will be the next term in the sequence.
The nth term is (36 - 4n)
The pattern in the sequence 192, 96, 48, 24 is a geometric sequence with a common ratio of 0.5. Each term is half of the previous term. This pattern continues by dividing each term by 2 to get the next term in the sequence.
7n - 4
The nth term is 7n-4 and so the next number in the sequence is 31
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
To find the 18th term of the arithmetic sequence 3, 10, 17, 24..., first, identify the common difference. The difference between consecutive terms is 7 (10 - 3, 17 - 10, 24 - 17). The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 18th term: ( a_{18} = 3 + (18 - 1) \times 7 = 3 + 119 = 122 ).
31
You can see that all the numbers go up by 7. This means that the first part of the nth term rule for this sequence is 7n. Now, you have to find out how to get from 7 to 3, 14 to 10, 21 to 17 ... this is because we are going up in the 7 times table. To get from the seventh times table to the sequence, you take away four. So the answer is : 7n-4
The given sequence is an arithmetic sequence where each term increases by 7. The first term (a) is 3, and the common difference (d) is 7. The formula for the nth term of an arithmetic sequence is given by ( a_n = a + (n - 1) \cdot d ). For the 50th term, ( a_{50} = 3 + (50 - 1) \cdot 7 = 3 + 343 = 346 ).
While there are not enough terms to be fully certain, it appears that the following numbers in the sequence are being multiplied by the nth term. Therefore, 24 x 5 = 120 will be the next term in the sequence.
The sequence for the expression (24 - 4n) is generated by substituting integer values for (n). For (n = 0), the term is (24); for (n = 1), it is (20); for (n = 2), it is (16); and so on. The sequence continues decreasing by 4 with each successive term, resulting in (24, 20, 16, 12, 8, 4, 0, -4, \ldots). This forms an arithmetic sequence with a first term of 24 and a common difference of -4.
The nth term is (36 - 4n)
To find the nth term of the sequence 9, 12, 17, 24, 33, we first look at the differences between consecutive terms: 3, 5, 7, and 9. These differences themselves increase by 2, indicating a quadratic relationship. We can derive the nth term formula as ( a_n = n^2 + 8n + 1 ). Thus, the nth term of the sequence can be expressed as ( a_n = n^2 + 8n + 1 ).
To find the nth term of the sequence 9, 12, 17, 24, 33, 44, we first observe the differences between consecutive terms: 3, 5, 7, 9, 11. These differences form an arithmetic sequence with a common difference of 2. This suggests that the nth term can be expressed as a quadratic function. By deriving the formula, the nth term is given by ( a_n = n^2 + 8n - 1 ).