The number which is best to complete the sequence below is: 2, 9, 5, 13, 10, 19, 17...?

Solution:

Sequence and series are used in mathematics as well as in our daily lives. A sequence is also known as progression and a series is developed by sequence.

Sequence and series is one of the basic concepts in Arithmetic.

Sequences are the grouped arrangement of numbers orderly and according to some specific rules, whereas a series is the sum of the elements in the sequence.

On closely examining the numbers,

 we can see that there are two series:

One is 2, 5, 10, 17…..

Here the increment is 3, 5, 7 so the next increment will be 9 and the number will be 26.

The second series is 9, 13, 19……….

Here the increment is 4, 6 and hence next increment will be 8 and the number will be 27.

So the next number of the series will be 27.

Therefore, the sequence is 2, 9, 5, 13, 10, 19, 17, 27.

The number which is best to complete the sequence below is: 2, 9, 5, 13, 10, 19, 17...?

Summary:

The next number to complete the sequence 2, 9, 5, 13, 10, 19, 17...? is 27.