Mathematics 29 Online
OpenStudy (anonymous):

4,2,1,1/2,1/4 whats the next three numbers in the pattern

OpenStudy (anonymous):

what do you think is happening?

OpenStudy (anonymous):

do u keep multiplying by 2

OpenStudy (anonymous):

where does the sequence start? I presume at 4, so the numbers are decreasing

OpenStudy (anonymous):

it starts at 4 yeah but with the fractions then its going up

OpenStudy (anonymous):

if you multiply by 2 that would lead to increasing values, because you keep doubling since the numbers are getting smaller, and looks like they are powers of 2, it's not multiplying by two, but dividing by 2

OpenStudy (anonymous):

you're right that the the denominator is multiplying by 2, but the numerator does not change from 1 here, so the fractional values are getting smaller and smaller

OpenStudy (anonymous):

so what do you think comes after 1/4?

OpenStudy (anonymous):

1/8 because the first one u multiply 1/2 which is the 2 times the bottom one equals the 4 or 1/16 because does it keep multiplying by the bottom number

OpenStudy (anonymous):

now for the second one u do the same?

OpenStudy (anonymous):

so 1/8, right? next after 1/8 = ?

OpenStudy (anonymous):

1/64

OpenStudy (anonymous):

?

OpenStudy (anonymous):

that would be squaring the denominator...it's simpler, you identified the multiplying the denominator by 2, so just keep that and apply...

OpenStudy (anonymous):

so 1/16

OpenStudy (anonymous):

yes, nice, and finally, the third value? ... (1/4), (1/8), (1/16), _____