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
an = a + (n – 1) d
an = a + (n – 1) d
an = 24 + (n – 1) (-3/4)
= 24 – 3/4n + ¾
= (96+3)/4 – 3/4n
= 99/4 – 3/4n
Put, an < 0
an = 99/4 – 3/4n < 0
99/4 < 3/4n
3n > 99
n > 99/3
n > 33
34th term is the first negative term of given AP.