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What is the 100th term of 4 8 12 16?
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.
How do you work out the nth term of a sequence?
Find the formula of it.
What is the one hundredth term in the sequence 1 3 6 10 15 21 28?
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.
What is the nth term of the sequence 18 12 6 0 -6?
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.
What is the nth term rule if the linear sequence 1,7,13,19,25?
6n-5 is the nth term of this sequence
