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In A.P. 171, 162, 153, ………. Find first non-positive term.(a) 0(b) -2(c) -6(d) -9I got this question in semester exam.My doubt is from Arithmetic Progression(A.P.) in portion Sequences and Series of Mathematics – Class 11

Answer»

Right OPTION is (a) 0

The explanation: a=171 and d=162-171 = -9.

an<=0

=>171+(N-1) (-9) <=0

=>180-9n <=0

=>9n >= 180

=> n >= 20 => n=20 for first non-positive TERM.

First negative term is 171+(19) (-9) = 171-171 = 0.



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