The given sequence is : $2\frac{1}{2}, 1\frac{7}{13}, 1\frac{1}{9}, \frac{20}{23}, ........$. I subtracted the 2nd and 1st term and the result was $-\frac{10}{13}$ and then the 3rd and 2nd term and the result was $-\frac{50}{117}$.
2026-03-25 09:25:16.1774430716
Find the general term of the sequence.
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1
It is simple now...
Your sequence is, $\frac{20}{8}, \frac{20}{13}, \frac{20}{18}, \frac{20}{23}, \cdots$
Observe that the denominator is in AP with the common difference of 5.
And clearly, the sequence is in harmonic progression.