How do you find the next term of the arithmetic sequence shown 1/6, 1/3, 1/2, 2/3?

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Answer 1 · 2018-06-28T20:27:55

#5/6#

fop we need to find the common difference between terms

#1/6,1/3,1/2,2/3#

#d=a_2-a_1=1/3-1/6#

#d=2/6-1/6=1/6#

that this is true for all adjacent terms is left for the reader to verify

the next term is therefore

#2/3+1/6#

#=4/6+1/6=5/6#