Complete the series 62,66,63,66,64,__,65,…………

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answer is D.

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Detailed Solution

Concept- To achieve the missing number we are using the unitary methods in the given question And by following the steps we achieve the required answer.
The given series is 62,66,63,66,64,…..,65
By following the below given step we can get the answer.
First we have to find the difference between the first two numbers.
66-62=4
Here, 4 is added in the first term to get the second.
Then, find the difference between the next two terms.
63-66=-3
Here, 3 is subtracted from second to get the third term
Then, find the difference between the third and fourth term 66-63=3
Here, 3 is added in the third term to achieve the fourth term.
Then, find the difference between the fourth and fifth term
64-66=-2
Here, -2 is subtracted.
Now, in given series
We say that 4 is added and 3 is subtracted to get the next term .
Then,
3 is added and 2 is subtracted to get another next term.
Therefore, 2 is added and 1 is subtracted to get the next term.
So, to achieve the required answer we will add 2 in the fifth term .
64+2=66
Hence, the correct answer is 4) 66.

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