Which tem of the sequence 114, 109, 104, .... is the first negative term?
Here a = 114, d is common difference
d = a3 – a2 = a2 – a1 = –5
For finding first negative term
Tn < 0
a + (n – 1) d < 0
114 + (n – 1) (– 5) < 0
114 – 5n + 5 < 0
119 – 5n < 0
– 5n < – 119
5n > 119
n > 119/5
n > 23.8
Therefore first negative term is 24th term