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Priyesh (1601)

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Hi Gabriel
there is no common term
first series nth term = 102 + (n-1)8
second series mth term = 108 + (m-1)12=102+6+4(m-1)+8(m-1)
=102 +8(m-1) + 6+4(m-1)
=mth term in first series + 4m + 2
now for the common term 4m + 2 should be a multiple of 8
this implies 4m + 2 =8a where a belongs to set of natural nos.
= m=2a- 1/2= A Fraction & not an integer
therefore there is no common term
 
 
 
  
 
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