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Let the common ratio be p.
Then,
-2/7p=m..... (i)
and
mp= (-7/2)(m+2)......(ii)
From (i), p= (-7/2)m
Substituting this in (ii),
m((-7/2)m)= (-7/2)(m+2)
m²=m+2
m²-m-2=0
Using quadratic formula we get that m=1 or m=(-2)
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