The large rectangle shown here is 3cm by 5 cm. What is a direct way to determine the area of the rectangle in square centimeters
that relies on the meaning of area?
1 answer:
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We know that this is a geometric sequence. Keep in mind that in a geometric sequence, the next term is found by shamelessly multiplying it by "some number", namely the "common ratio".
therefore, if you divide any "next term" by the "previous term", the quotient will just be that "some number", thus, if 1.5 ÷ 7.5 will give it to us, and is, yeap, you guessed it, is 2.
you can check say 3 ÷ 1.5 or 6 ÷ 3, you'll see it.
so, we know the common ratio is 2, and the first term is 0.75, so
therefore, if you divide any "next term" by the "previous term", the quotient will just be that "some number", thus, if 1.5 ÷ 7.5 will give it to us, and is, yeap, you guessed it, is 2.
you can check say 3 ÷ 1.5 or 6 ÷ 3, you'll see it.
so, we know the common ratio is 2, and the first term is 0.75, so