Simple inductive pattern term finding?

1/8, 2/7, 1/2, 4/5

360, 180, 120, 90

In that order, please find the next 2 terms, explaining is a bonus!

Thanks!

Top 1 Answers

A few days ago

LouLou

Favorite Answer

For the first pattern, for each term you add one to the numerator and subtract 1 from the denominator of the previous term.

1/8 -> 2/7 -> 3/6 OR 1/2 -> 4/5 -> 5/4 -> 6/3 OR 2

The second pattern can be derived a couple different ways:

The easiest is that each term is 360/n, starting with n=1, so

360 (n=1), 180 (n=2), 120 (n=3), 90 (n=4), 72 (n=5), 60 (n=6)

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