Answer:

Given,

AP of 24, 23 ¼, 22 ½, 21 ¾, … = 24, 93/4, 45/2, 87/4, …

a₁ = a = 24

a₂ = 93/4

Common difference,

d = a₂ – a₁ = 93/4 – 24

= (93 – 96)/4

= – 3/4

a_n = a + (n – 1) d

a_n = a + (n – 1) d

a_n = 24 + (n – 1) (-3/4)

= 24 – 3/4n + ¾

= (96+3)/4 – 3/4n

= 99/4 – 3/4n

Put, a_n < 0

a_n = 99/4 – 3/4n < 0

99/4 < 3/4n

3n > 99

n > 99/3

n > 33

34^th term is the first negative term of given AP.