Question
In the AP, ?, 13, ?, 3 find the missing terms?
✓
Answer
Let the first term and the common difference of
the given AP be a and d respectively.
Second term = 13
$ \Rightarrow $ a + (2 - 1)d = 13
$ \Rightarrow $ a + d = 13 ....... (1)
Fourth term = 3
$ \Rightarrow $ a + (4 - 1) d = 3
$ \Rightarrow $ a + 3d = 3 .......... (2)
Solving (1) and (2), we get
a = 18
d = -5
Therefore,
Third term = a + (3 - 1) d
= a + 2d
= 18 + 2(-5)
= 18 - 10
= 8
Hence, the missing terms are 18 and 8.
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