Find the first three terms of the sequence calculator

About Arithmetic Sequence Calculator

This Arithmetic Sequence Calculator is used to calculate the nth term and the sum of the first n terms of an arithmetic sequence.

FAQ

In mathematics, an arithmetic sequence, also known as an arithmetic progression, is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. The sum of the members of a finite arithmetic progression is called an arithmetic series.

If the initial term of an arithmetic sequence is a1 and the common difference of successive members is d, then the nth term of the sequence is given by:

an = a1 + (n - 1)d

The sum of the first n terms Sn of an arithmetic sequence is calculated by the following formula:

Sn = n(a1 + an)/2 = n[2a1 + (n - 1)d]/2

Sequence Calculator is a free online tool that displays the sequence of the given function. BYJU’S online sequence calculator tool makes the calculation faster, and it displays the sequence of the function in a fraction of seconds.

How to Use the Sequence Calculator?

The procedure to use the sequence calculator is as follows:
Step 1: Enter the function and limit in the respective input field
Step 2: Now click the button “Calculate” to get the Sequence
Step 3: Finally, the sequence of the given function will be displayed in the new window

What is Meant by the Sequence?

In mathematics, the sequence is defined as the ordered list of numbers. Each number in the sequence is considered as a term. The three dots at the end of the sequence means that the pattern of numbers will be continued. There are four different types of sequence in Maths. They are:

  • Arithmetic sequence
  • Geometric Sequence
  • Harmonic Sequence
  • Fibonacci series

Also, read: Sequence and Series

An example of a sequence is 1, 3, 5, 7, 9,… Here, the first term is 1; the second term is 3; the third term is 5, and so on. Here, each term in the sequence has a difference of 2. Hence, the common difference of the sequence is 2, and the sequence will be continued by adding 2 to the previous term.

Summary :

Sequence calculator allows to calculate online the terms of the sequence whose index is between two limits.

sequence online


Description :

The sequence calculator is able to calculate online the terms of a sequence between two of the indices of this sequence.

Calculating the terms of a suite

The calculator is able to calculate the terms of a sequence between two indices of this sequence.

Thus, to obtain the elements of a sequence defined by `u_n=n^2` between 1 and 4 , it is necessary to enter : sequence(`n^2;1;4;n`) after calculation, the result is returned `u_1=1 ; u_2=4 ; u_3=9 ; u_4=16`.

The sequences can also be calculated by recurrence, for that, it is necessary to use the the calculator of sequences defined by recurrence .

Calculation of elements of an arithmetic sequence

The calculator allows to calculate the terms of an arithmetic sequence between two indices of this sequence

Thus, to obtain the terms of an arithmetic sequence defined by `u_n=3+5*n` between 1 and 4 , enter : sequence(`3+5*n;1;4;n`) after calculation, the result is returned.

Calculation of the terms of a geometric sequence

The calculator is able to calculate the terms of a geometric sequence between two indices of this sequence.

Thus, to obtain the terms of a geometric sequence defined by `u_n=3*2^n` between 1 and 4 , enter : sequence(`3*2^n;1;4;n`) after calculation, the result is returned.

Calculation of the sum of the terms of a sequence

The calculator is able to calculate the sum of the terms of a sequence between two indices of this series, it can be used in particular to calculate the partial sums of some series. .

Syntax :

sequence(sequence;lower bound;upper bound;variable)


Examples :

sequence(`n^2;1;4;n`), returns `u_1=1 ; u_2=4 ; u_3=9 ; u_4=16`.

Calculate online with sequence (sequence calculator)

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Home > Pre-Algebra calculators > Find next number in the sequence calculator

Method and examples

Method
 
Find next number in the sequence 3,7,15,31,63
 
Enter only ,(comma) separated number series
 
Find  
 

  1. 3,7,15,31,63
  2. 3,6,18,72
  3. 1,3,5,7,9
  4. 2,4,8,16,32
  5. 20,19,17,14,10
  6. 1,4,9,16,25
  7. 1,9,17,33,49,73
  8. 4,10,28,82,244
  9. 5,17,37,65,101
  10. 9,11,20,31,51


Valid Input 4, 16, 64, 256, 1024
1, 10, 100, 1000, 10000
Invalid Input 4, 16, 64, 256, 1,024
1, 10, 100, 1,000, 10,000

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Find the first three terms of the sequence calculator



Find the first three terms of the sequence calculator
Find the first three terms of the sequence calculator
Find the first three terms of the sequence calculator
Find the first three terms of the sequence calculator
Find the first three terms of the sequence calculator
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What is the sequence calculator?

The Sequence Calculator finds the equation of the sequence and also allows you to view the next terms in the sequence.