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

**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.

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.

Learn more about Arithmetic-
Q:
## What are recursive sequences?

A: A recursive sequence is an ordered set of numbers where the first items are called starting values and all other terms can be computed recursively from the... Full Answer >Filed Under: -
Q:
## What is the associative property of multiplication?

A: The associative property of multiplication states that the order in which numbers are multiplied in sequence is irrelevant. In other words, if more than tw... Full Answer >Filed Under: -
Q:
## How do you calculate the sum of an arithmetic sequence?

A: Calculate the sum of an arithmetic sequence with the formula (n/2)(2a + (n-1)d). The sum is represented by the Greek letter sigma, while the variable a is ... Full Answer >Filed Under: -
Q:
## What is the nth term in mathematics?

A: In math, the term n of a sequence refers to the algebraic representation of any given term in the sequence. This contrasts with the specific values of name... Full Answer >Filed Under: