Q:

# What is the next number in the series 13, 18, 16, 21, 19?

A:

The next number in this sequence is 24. This would follow the pattern of adding five to a number and then subtracting two. The first three numbers of this sequence indicate this: 13 + 5 = 18 and 18 - 2 = 16.

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Recognizing a pattern within a sequence of numbers helps determine numbers that occur much later, often without writing down the entire sequence. Being able to recognize a pattern has additional applications, such as determining probability. There are some number sequences so common, they have a name. One example is the Fibonacci sequence, in which a number is the sum of the two previous numbers before it.

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## Related Questions

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In a sequence of numbers, each successive term is usually obtained by adding a certain fixed number to the previous term of the sequence. The equation to calculating the nth term of the sequence is an+b; "a" is the fixed number that is being added to generate the series, and "b" gives the relation between the fixed number and the first number of the sequence.

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The associative property of multiplication states that the order in which numbers are multiplied in sequence is irrelevant. In other words, if more than two numbers in an expression are multiplied together, the product is the same no matter the order in which the numbers are multiplied.

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The result of a adding a positive number and a negative can either be a negative number or a positive number, depending on the sign of the biggest number. If the sign of the larger number is negative, then the result is a negative number. However, if the sign of the larger number is positive, then the result is a positive number.