In order to find the unknown term in a number sequence, you first need to calaculate the advantage of the numbers.
A sequence.
You didn't say the series (I prefer to use the word sequence) of even numbers are consecutive even numbers, or even more generally an arithmetic sequence. If we are not given any information about the sequence other than that each member happens to be even, there is no formula for that other than the fact that you can factor out the 2 from each member and add up the halves, then multiply by 2: 2a + 2b + 2c = 2(a + b + c). If the even numbers are an arithmetic sequence, you can use the formula for the sum of an arithmetic sequence. Similarly if they are a geometric sequence.
It means to work out a suitable nth term that is applicable to all terms of a sequence of numbers following a regular pattern.
They are a sequence of numbers and each sequence has a term number.
That has a lot of applications, related to finding a general tendency, calculating or estimating the mathematical expectation (important for investments), etc.
There are no numbers before the sequence!
A sequence.
You didn't say the series (I prefer to use the word sequence) of even numbers are consecutive even numbers, or even more generally an arithmetic sequence. If we are not given any information about the sequence other than that each member happens to be even, there is no formula for that other than the fact that you can factor out the 2 from each member and add up the halves, then multiply by 2: 2a + 2b + 2c = 2(a + b + c). If the even numbers are an arithmetic sequence, you can use the formula for the sum of an arithmetic sequence. Similarly if they are a geometric sequence.
It means to work out a suitable nth term that is applicable to all terms of a sequence of numbers following a regular pattern.
This is called a sequence and if we add the numbers in that sequence it is called a series.
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
Arithmetic Sequence
They are a sequence of numbers and each sequence has a term number.
Its indefinite: Start with 0,1 add last two numbers = 1 add to sequence = 0,1,1 add last two numbers = 2 add to sequence = 0,1,1,2 add last two numbers = 3 add to sequence = 0,1,1,2,3 add last two numbers = 5 add to sequence = 0,1,1,2,3,5 add last two numbers ......... add to sequence ..........
That has a lot of applications, related to finding a general tendency, calculating or estimating the mathematical expectation (important for investments), etc.
Because understanding rational and whole numbers and in particular prime numbers it is useful when finding the lowest common multiple or the highest common factor of numbers.
An arithmetic sequence.