which term of an ap 115, 110, 105,..... is its first negative term
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Answer:
Step-by-step explanation:
ap = 115 , 110 , 105,.............
here, a = 116 and d = 110-115 = -5
let the nth term of the given ap be the first negative term.
Then , Tn<0 => a + ( n - 1 ) × d <0
=> 115+(n-1)×-5 <0
=> 115-5n+5 <0
=> 120-5n<0 => 120 <5n
=> 5n > 120 => n = 24
Therefore,
n = 24.
Hence, the 25th term is the first negative term of the given ap.
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