Q. 18 D4.5( 2 Votes )

In the following A.P., find the missing terms:

, 13, , 3

Answer :

Given: a2 = 13 and a4 = 3


We know that,


an = a + (n – 1)d


a2 = a + (2 – 1)d


13 = a + d …(i)


and a4 = a +(4 – 1)d


3 = a + 3d …(ii)


Solving linear equations (i) and (ii), we get


a + d – a – 3d = 13 – 3


–2d = 10


d = –5


Putting the value of d in eq. (i), we get


a – 5 = 13


a = 18


Now, a3 = a + 2d = 18 + 2(–5) = 18 – 10 = 8


Hence, the missing terms are 18 and 8


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