Q3 of 110 Page 41

Which term of the arithmetic sequence is 3?

Here, first term, a = 24


We know that common difference, d = a1 – a.



We know that nth term of A.P. , tn = a + (n – 1) d.


To find the nth term, here tn = 3


3 = 24 + (n – 1) (-3/4)


3 – 24 = (n – 1) (-3/4)


-21 = (n – 1) (-3/4)


-21 × = n – 1


28 = n – 1


n = 28 + 1 = 29


t29 of the given A.P. is 3.


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