Question

Find the common difference of the sequence shown.

1/2,1/4 , 0, ...
a.-1/8
b.-1/4
c.-1/2

Answer 1

`(1)/(2) -(1)/(4) =(2)/(4) -(1)/(4) =(1)/(4)\\\\(1)/(4) -0 =(1)/(4)`

The common difference of the sequence is b. -1/4.

Answer 2

1/2 , 1/4, 0

Find the common difference:

Rules in subtracting fraction
1) make sure the each fraction has a common denominator
2) if they have different denominators, find each least common multiple.
3) multiply the fraction by the lcm. apply the lcm to both numerator and denominator

1/4 - 1/2
1/4 - (1/2 * 2/2)
1/4 - 2/4 = 1-2/4 = -1/4

0 - 1/4 = -1/4

The common difference is B. -1/4