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Question

Which term of the AP 150, 147, 144,…. is its first negative term?

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Solution

AP is 150,147,144So,a=150T51=150+(511)(3)d=3=150+(150)Tn<0=0a+(n1)d<0So, T52 is the first negative number150+(n1)3<0T52=150+51<3150>(n1)(3)=350<n151<n

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