A series is **a list of numbersâ€”like a sequence**â€”but instead of just listing them, the plus signs indicate that they should be added up. For example, 4+9+3+2+17 4 + 9 + 3 + 2 + 17 is a series. This particular series adds up to 35 . Another series is 2+4+8+16+32+64 2 + 4 + 8 + 16 + 32 + 64 .

Besides, How do you find the series of a number?

It is based on either descending or ascending order of numbers and **each successive number is obtained by dividing or multiplying the previous number by a specific number**. Example:4, 36, 324, 2916? Sol:4 x 9 = 36, 36 x 9 = 324, 324 x 9 = 2916, 2916 x 9 = 26244.

Keeping this in mind, What are the types of series?

Types of Sequence and Series

- Arithmetic Sequences.
- Geometric Sequences.
- Harmonic Sequences.
- Fibonacci Numbers.

## What is a series in math?

In mathematics, a series is **the cumulative sum of a given sequence of terms**. Typically, these terms are real or complex numbers, but much more generality is possible. … Depending on the number of terms, the series may be finite or infinite.

## What are the 4 types of sequence?

There are mainly four types of sequences in Arithmetic, **Arithmetic Sequence, Geometric Sequence, Harmonic Sequence, and Fibonacci Sequence**.

**How do you find a series?**

The series of a sequence is **the sum of the sequence to a certain number of terms**. It is often written as S_{n}. So if the sequence is 2, 4, 6, 8, 10, … , the sum to 3 terms = S_{3} = 2 + 4 + 6 = 12. The Greek capital sigma, written S, is usually used to represent the sum of a sequence.

**What is series and types of series?**

Series: Types of Series and Types of Tests. **A series is an infinite addition of an ordered set of terms**. The infinite series often contain an infinite number of terms and its nth term represents the nth term of a sequence. A series contain terms whose order matters a lot.

**What are the three types of series?**

Frequency Series

Individual series 2. Discrete series, and 3. **Continuous series**.

**What are the types of series in economics?**

There are three types of series in Statistical series,

- Individual Series.
- Discrete series.
- Continuous series.

**What is series example?**

For example, the sequence (1, 1, **1**, …) has series (1, 2, 3, 4, …) as its partial summation, which is analogous to the fact that. In computer science, it is known as prefix sum.

**What is a series and sequence?**

In mathematics, a sequence is a list of objects (or events) which have been ordered in a sequential fashion; such that each member either comes before, or after, every other member. … **A 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 difference between sequence and series?**

A sequence is a particular format of elements in some definite order, whereas series is **the sum of the elements of the sequence**.

**What is sequence and its types?**

Any sequence in which the difference between every successive term is constant then it is called **Arithmetic Sequences**. … A sequence in which every successive term has a constant ratio between them then it is called Geometric Sequence.

**What are the names of sequences?**

Sequences

- square numbers: 1, 4, 9, 16, 25, 36, … – the nth term is. …
- cube numbers: 1, 8, 27, 64, 125, … – the nth term is. …
- triangular numbers: 1, 3, 6, 10, 15, … (these numbers can be represented as a triangle of dots). …
- Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, …

**What are the sequences in maths?**

Number sequences are **sets of numbers that follow a pattern or a rule**. If the rule is to add or subtract a number each time, it is called an arithmetic sequence. If the rule is to multiply or divide by a number each time, it is called a geometric sequence. Each number in a sequence is called a term.

**How do you write a series in math?**

Well, a series in math is simply **the sum of the various numbers, or elements of a sequence**. For example, to make a series from the sequence of the first five positive integers 1, 2, 3, 4, 5, just add them up. So, 1 + 2 + 3 + 4 + 5 = 15 is a series.

**What is the formula of sequence and series?**

a_{1} = a, a_{2} = a + d, a_{3} = a + 2d, a_{n} = a + (n – 1)d. Formula 2: The sum of n terms of an arithmetic series is as follows. The sum of the n terms is equal to the product of n/2 and the sum of the first term(a) and the last term (a + (n – 1)d) of the arithmetic series.

**What is series physics?**

Series circuits

A series circuit is **a circuit in which resistors are arranged in a chain**, so the current has only one path to take. The current is the same through each resistor.

**What is series formula?**

The series of a sequence is **the sum of the sequence to a certain number of terms**. It is often written as S_{n}. So if the sequence is 2, 4, 6, 8, 10, … , the sum to 3 terms = S_{3} = 2 + 4 + 6 = 12. The Sigma Notation.

**What are the 3 types of series on the basis of construction?**

On the basis of general characteristics, statistical series are of three kinds:

- (i) Time series (Chronological series) …
- (ii) Spatial series (Geographical series) …
- (iii) Condition series.

**What is discrete series and continuous series?**

Control Charts: A discrete distribution is one in which the data can only take on certain values, for example integers. A continuous distribution is **one in which data can take on any value within** a specified range (which may be infinite).

**What is individual series and discrete series?**

In simple words, individual series is **the arrangement of raw data individually**. It gives numeric values for a specific situation. … On the other hand, discrete gives data for each specific value of variable. The important thing in the discrete series is that, the variable involved in the series has integer values.

**What are the three types of series in economics?**

These are three types of series as under: (a) Series of invidividual observations. (b) **Discrete series**. (c) Continuous series.