Q. 18 D4.5( 2 Votes )

# In the following A.P., find the missing terms:□, 13, □, 3

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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