Arithmetic- the number increases by 10 every term.
An example of a prime sequence with 5 prime numbers is: 11, 13, 17, 19, 23.
yes it is
The sequence 3, 4, 7, 13, 14, 17, 23 appears to follow a pattern of increasing numbers, but it doesn't follow a simple arithmetic or geometric progression. The differences between consecutive numbers are 1, 3, 6, 1, 3, 6, suggesting a repeating pattern of differences. Following this pattern, the next difference after 23 should be 1, leading to the next number being 24. Therefore, the next number in the sequence should be 24.
Yes, the explicit rule for a geometric sequence can be defined from a recursive formula. If the first term is 23 and the common ratio is ( r ), the explicit formula can be expressed as ( a_n = 23 \cdot r^{(n-1)} ), where ( a_n ) is the nth term of the sequence. This formula allows you to calculate any term in the sequence directly without referencing the previous term.
41
The sequence 216 12 23 is neither arithmetic nor geometric.
An example of a prime sequence with 5 prime numbers is: 11, 13, 17, 19, 23.
yes it is
By subtracting one term from the next the common difference can be found: Using -8 and -13: -13 - -8 = 13 + 8 = -5 → Common difference is -5.
The sequence 3, 4, 7, 13, 14, 17, 23 appears to follow a pattern of increasing numbers, but it doesn't follow a simple arithmetic or geometric progression. The differences between consecutive numbers are 1, 3, 6, 1, 3, 6, suggesting a repeating pattern of differences. Following this pattern, the next difference after 23 should be 1, leading to the next number being 24. Therefore, the next number in the sequence should be 24.
Yes, the explicit rule for a geometric sequence can be defined from a recursive formula. If the first term is 23 and the common ratio is ( r ), the explicit formula can be expressed as ( a_n = 23 \cdot r^{(n-1)} ), where ( a_n ) is the nth term of the sequence. This formula allows you to calculate any term in the sequence directly without referencing the previous term.
Every next number is increased by 5. The next number in the sequence is 23.
29
8, 13, 18, 23, 28, etc.
41
23
The 'n'th term is [ 13 + 5n ].