Question

What is the sequence to 1/8,2/7,1/2,4/5

Answer 1

The nth term is n/(9-n) and there are 8 terms in the given sequence

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The given sequence is:

• 1/8, 2/7, 3/6, 4/5

We observe that the numerator starts from 1 and increases by 1 at each step, while the denominator starts from 8 and decreases by 1 at each step. Therefore, the nth term can be written as:

• aₙ = n/(9-n)

It is obvious the 9th term is going to be 9/0 which is not possible hence it has 8 terms.