A

2,4,6,8,10….is an arithmetic

The list of numbers written

Definition and

An

Since we want to

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**series**is a sum of a**sequence**of terms. That is, a**series**is a list of numbers with addition operations between them.**What is sequence and series in math?**2,4,6,8,10….is an arithmetic

**sequence**with the common difference 2. If the first term of an arithmetic**sequence**is a_{1}and the common difference is d, then the nth term of the**sequence**is given by: an=a1+(n−1)d. An arithmetic**series**is the**sum**of an arithmetic**sequence**.**What is difference between sequence and series?**The list of numbers written

**in a**definite order is called a**sequence**. The sum of terms of an infinite**sequence**is called an infinite**series**. A**sequence**can be defined as a function whose domain is the set of Natural numbers. Therefore**sequence**is an ordered list of numbers and**series**is the sum of a list of numbers.**What is sequence and example?**Definition and

**Examples**of**Sequences**. A**sequence**is an ordered list of numbers . The three dots mean to continue forward in the pattern established. Each number in the**sequence**is called a term. In the**sequence**1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.**What is the formula of sequence?**An

**arithmetic**sequence can also be defined recursively by the formulas a_{1}= c, a_{n}_{+}_{1}= a**+ d, in which d is again the common difference between consecutive terms, and c is a constant. The sum of an infinite**_{n}**arithmetic**sequence is either ∞, if d > 0, or - ∞, if d < 0.**How do you find the d value of a arithmetic sequence?**Since we want to

**find**the 125^{th}term, the “n”**value**would be n = 125. The following are the known**values**we will plug into the formula: The missing term in the**sequence**is calculated as, Example 3: If one term in the**arithmetic sequence**is a_{21}= –17 and the common difference is**d**= –3.,,,,,,,,,,,

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