It is a valid sequence which is fundamental to arithmetic since its partial sums define the counting numbers.
every next term is 4 smaller than previous so 7th term = -23
The sequence 1, 3, 5, 7, 9 is an arithmetic sequence where each term increases by 2. The nth term can be expressed as ( a_n = 2n - 1 ). Therefore, for any positive integer ( n ), the nth term of the sequence is ( 2n - 1 ).
If the first two numbers are 0, 1 or -1 (not both zero) then you get an alternating Fibonacci sequence.
3
A period 4 of a sequence refers to a repeating cycle where every fourth term is the same, indicating a pattern that recurs every four elements. For example, in the sequence 1, 2, 3, 1, 2, 3, the period is 3. If a sequence has a period of 4, it might look like 1, 2, 3, 4, 1, 2, 3, 4, where the terms repeat every four positions. This characteristic is important in various mathematical contexts, including number theory and signal processing.
That's the famous Fibonacci sequence, where every term is the sum of the previous two.
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.
every next term is 4 smaller than previous so 7th term = -23
The sequence 1, 3, 5, 7, 9 is an arithmetic sequence where each term increases by 2. The nth term can be expressed as ( a_n = 2n - 1 ). Therefore, for any positive integer ( n ), the nth term of the sequence is ( 2n - 1 ).
If the first two numbers are 0, 1 or -1 (not both zero) then you get an alternating Fibonacci sequence.
The 19th term of the sequence is 16.
The nth term of the sequence is 2n + 1.
The nth term of the sequence 2n + 1 is calculated by substituting n with the term number. So, the tenth term would be 2(10) + 1 = 20 + 1 = 21. Therefore, the tenth term of the sequence 2n + 1 is 21.
Each number in this sequence is twice the previous number. The nth. term is 2n-1.Each number in this sequence is twice the previous number. The nth. term is 2n-1.Each number in this sequence is twice the previous number. The nth. term is 2n-1.Each number in this sequence is twice the previous number. The nth. term is 2n-1.
3
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.
The given sequence is an arithmetic sequence with a common difference of 4 between each term. To find the nth term of an arithmetic sequence, we use the formula: nth term = a + (n-1)d, where a is the first term, d is the common difference, and n is the term number. In this case, the first term (a) is -3, the common difference (d) is 4, and the term number (n) is the position in the sequence. So, the nth term of the given sequence is -3 + (n-1)4 = 4n - 7.