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

T_n < 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 24^th term