Question
In the AP 2, ? , 26, find the missing terms?
✓
Answer
Let the common difference of the given AP be d.
Then,
Third term = 2 + d + d = 2 + 2d
According to the question,
2 + 2d = 26
$ \Rightarrow $ 2d = 26 - 2
$ \Rightarrow $ 2d = 24
$ \Rightarrow d = \frac{{24}}{2} = 12$
So, second term = 2 + d = 2 + 12 = 14
Hence, the missing termed is 14
Then,
Third term = 2 + d + d = 2 + 2d
According to the question,
2 + 2d = 26
$ \Rightarrow $ 2d = 26 - 2
$ \Rightarrow $ 2d = 24
$ \Rightarrow d = \frac{{24}}{2} = 12$
So, second term = 2 + d = 2 + 12 = 14
Hence, the missing termed is 14
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