# Write the rule for the nth term given 1/4,2/5,3/6,4/7,5/8,...

Gaige Haynes 2022-09-14 Answered
Write the rule for the nth term given $\frac{1}{4},\frac{2}{5},\frac{3}{6},\frac{4}{7},\frac{5}{8},...$
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Karla Bautista
The way the sequence has been written seems to indicate an intention that the rule for the general term is:
${a}_{n}=\frac{n}{n+3}$
Both the numerators (1,2,3,4,5) and denominators (4,5,6,7,8) are arithmetic sequences with common difference 1.
Note that the same sequence of values could have been written:
$\frac{1}{4},\frac{2}{5},\frac{1}{2},\frac{4}{7},\frac{5}{8},...$
The same formula would be correct, but slightly harder to spot.

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