To find the 100th term of the sequence 4, 8, 12, 16, we can observe that each term is increasing by 4. This is an arithmetic sequence with a common difference of 4. The formula to find the nth term of an arithmetic sequence is given by: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. Substituting the values into the formula, we get (a_{100} = 4 + (100-1) \times 4 = 4 + 99 \times 4 = 4 + 396 = 400). Therefore, the 100th term of the sequence is 400.
Find the formula of it.
The sequence given is an arithmetic sequence where each term is the sum of the previous term and a constant difference. The constant difference in this sequence is increasing by 1 each time, starting with 2. To find the 100th term, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_n ) is the nth term, ( a_1 ) is the first term, ( n ) is the term number, and ( d ) is the common difference. Plugging in the values, we get ( a_{100} = 1 + (100-1)2 = 1 + 99*2 = 1 + 198 = 199 ). Therefore, the 100th term in the sequence is 199.
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
6n-5 is the nth term of this sequence
If you mean: 34 39 24 ... then the nth term is 39-5n and so the 100th term = -461
you replace the "n" with ahundred e.g... if it's 2n+1, you will go 2x100+ 1 which is 201
To find the 100th term of the sequence 4, 8, 12, 16, we can observe that each term is increasing by 4. This is an arithmetic sequence with a common difference of 4. The formula to find the nth term of an arithmetic sequence is given by: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. Substituting the values into the formula, we get (a_{100} = 4 + (100-1) \times 4 = 4 + 99 \times 4 = 4 + 396 = 400). Therefore, the 100th term of the sequence is 400.
Find the formula of it.
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 sequence given is an arithmetic sequence where each term is the sum of the previous term and a constant difference. The constant difference in this sequence is increasing by 1 each time, starting with 2. To find the 100th term, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_n ) is the nth term, ( a_1 ) is the first term, ( n ) is the term number, and ( d ) is the common difference. Plugging in the values, we get ( a_{100} = 1 + (100-1)2 = 1 + 99*2 = 1 + 198 = 199 ). Therefore, the 100th term in the sequence is 199.
i dont get it
If the sequence is non-linear, you need to establish how it is defined.
123456789 * * * * * The nth term is 3n
The nth term is Un = a + (n-1)*d where a = U1 is the first term, and d is the common difference.
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
6n-5 is the nth term of this sequence