Question

which term of the A.P 115,110,105,........is the first negative term?

Answer 1

-5 is the first negative term of A.P

Answer 2

Here is your answer


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.


Hope it helps you ^_^


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