0, 1, 1, 2, 3, 5, 8
so the 7th term is 8
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To find the term number when the term value is 53 in a sequence, you need to know the pattern or formula of the sequence. If it is an arithmetic sequence with a common difference of d, you 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, and d is the common difference. By plugging in the values, you can solve for the term number.
This is called a Fibonacci Sequence where the two initial (seed) values are 1 and 3, thereafter every term is the sum of the two previous terms. 4 = 3 + 1 7 = 4 + 3 11 = 7 + 4 18 = 11 + 7 29 = 18 + 11 So the next number would be the sum of, 29 + 18 = 47
8 5 4 9 1 7 6 10 3 2 0 This sequence is special because the numbers are in alphabetical order. The Fibonacci sequence is very special and the triangular sequence.
The sequence in the question is NOT an arithmetic sequence. In an arithmetic sequence the difference between each term and its predecessor (the term immediately before) is a constant - including the sign. It is not enough for the difference between two successive terms (in any order) to remain constant. In the above sequence, the difference is -7 for the first two intervals and then changes to +7.
The nth term of the sequence is 3n - 2.