Q.

Find the first negative term of the sequence 20,1914,1812,1734,…

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a

27

b

28

c

29

d

30

answer is B.

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Detailed Solution

The given sequence is an A.P in which first term a=20 and common difference d=-3/4. Let the nth term of the given A.P. be  the first negative term. Then, an<0⇒a+(n−1)d<0⇒20+(n−1)(−3/4)<0⇒834−3n4<0⇒83−3n<0⇒3n>83⇒n>2723⇒n=28
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