Which term of the arithmetic sequence 24,23¼,22½,21¾,.... is 3 ?
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Hey!!!!
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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 ✌️
_______
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 ✌️
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