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Question

In the following APs, find the missing terms in the boxes:
$$2, \Box, 26$$ 


Solution

Solution:-
$$2, \Box, 26$$

Let the missing term be $$x.$$

As we know, in an A.P., the difference between two consecutive terms is equal.
$$\therefore \; x - 2 = 26 - x$$

$$\Rightarrow \; x + x = 26 + 2$$

$$\Rightarrow \; 2x = 28$$

$$\Rightarrow \; x =\cfrac{28}{2} = 14$$

Maths

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