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Here

a=121. d=(117-121)=-4

AND Nth Term is negative so 

Tn<0

a+(n-1)d<0

121+(n-1)(-4)<0

121<(n-1)4

121/4<n-1

(121/4)+1<n

n>125/4

n>34.something

so number that greater then 34 and smallest is 35 ..

Thus 35th Term is it's First NEGATIVE TERM..

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