Determine if the series 3/4 + 4/5 + 5/6 is convergent or divergent
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Check the picture below
hmmm so, notice the arrows, if we simply multiply top and bottom of one fraction by the other's denominator, we end up with two fractions, with the same denominator
now, what can be between 49/56 and 24/56
well, 25/56, or 26/56 or 48/56 or 39/56 and so on
once the denominators are the same, is just a matter of which numerator is larger or smaller, to see who is who
hmmm so, notice the arrows, if we simply multiply top and bottom of one fraction by the other's denominator, we end up with two fractions, with the same denominator
now, what can be between 49/56 and 24/56
well, 25/56, or 26/56 or 48/56 or 39/56 and so on
once the denominators are the same, is just a matter of which numerator is larger or smaller, to see who is who