Question

Which statement is not true about the pattern shown? 2/3 k 12 24 8 16 12' 24 1) Each fraction is equivalent to 3 1) Each fraction is equal to the previous fraction in the pattern multiplied byz. 1) Each fraction is greater than the previous fraction. The next fraction in the pattern is 32 48

Answer 1

We need to evaluate the fractions below:

`(2)/(3),(4)/(6),(8)/(12),(16)/(24),\ldots`

All these fractions have the same value, they're equivalent to "2/3". On each step there is a product of 2 on the numerator and 2 on the denominator, therefore they're related by the factor of "2/2". If we multiply the last term by the factor we get:

`(16)/(24)\cdot(2)/(2)=(32)/(48)`

The only one statement that is false is: "Each fraction is greater than the previous fraction". They all have the same value, so the correct option is the third.