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

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a
27
b
28
c
29
d
30

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detailed solution

Correct option is B

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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The sum of n terms of an A.P. is 3n2+5 The number of  term which equals 159, is


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