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Which term of the sequence 114 …

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Which term of the sequence 114 , 109 , 104 .... is the first negative term
  • 1 answers

Sia ? 5 years, 4 months ago

First term = a = 114
Common difference = a2 - a1
d = 109 - 114
d = -5
Let n th term of A.P = 0
a + ( n - 1 )d = 0
114 + ( n - 1 ) ( -5 ) = 0
114 - 5n + 5 = 0
119 - 5n = 0
-5n = - 119
n = 119/5
n = 23.4
Therefore ,
24 th term of given A. P is first negative term

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