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Question

Second and fourth terms of the following arithmetic sequence are missing. Find the numbers at these positions.
11, ____, 19, _____, _____

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Solution

First term =11
Third term =19
Let the second term be x and the common difference be d.
Then, x11=19x
i.e. 2x=30
i.e. x=15
Thus, d=1511=4
Hence, the fourth term will be 19+4=23

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