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Question

Which term of the A.P 121,117,113,..., is its first negative term?

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Solution

a=121, d=-4, let an=0

an=a+(n-1)d

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

-121=-4n+4

-125=-4n

n=31.25

since n has to be a whole no., therefore, the ans is 32 ( the no. next to 31.25)

hence the 32nd term is the first negative term


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