Question

Which term of the arithmetic sequence 24,23¼,22½,21¾,.... is 3 ?

Answer 1

Hey!!!!

_______

Given AP : 24 , 231/4) , 22(1/2), 21(3/4)

Here,

a = 24

d = 23(1/4) - 24

=> d = 93/4 - 24

=> d = -3/4

an = 3
then
n = ?

Thus an = a + (n - 1)d

=> 3 = 24 + (n - 1)(-3/4)

=> (n - 1)(-3/4) = -21

=> n - 1 = 28

=> n = 29

Thus the 29th term of the AP is 3.

__________

Hope this helps ✌️