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the idea being, you multiply the "x" by some power of 10 that moves the repeating part to the left of the decimal point and the split it like above.
we are given
geometric sequence -36, 6, -1, 1/6, ...
first term is -36
now, we can find common ratio
now, we can find nth term
now, we can plug values
and we get
now, we can find 5th term , 6th term, 7th term
fifth term:
sixth term:
seventh term:
so, next terms are
,
, .............Answer