# 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

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