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Which term of the AP 80, 76, 72, 68……. is the first negative term?(a) 22(b) 21(c) 23(d) 24I got this question in an interview.I'd like to ask this question from Arithmetic Progression Basics in division Arithmetic Progressions of Mathematics – Class 10

Answer»

Right option is (a) 22

To EXPLAIN I would SAY: Here a = 80 and d = 76 – 80 =– 4

Let Tn be the FIRST negative term of the given AP.

Tn < 0

a + (n – 1)d < 0

80 + (n – 1) – 4 < 0

80 – 4N + 4 < 0

84 < 4n

n > 21

Hence the 22^th term of the given AP will be its first negative term.



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