Number Sequence Calculator | CalculatorHari.com

Method and Examples

A number sequence is a list of numbers arranged in a specific order or pattern. The key to solving these is to identify the rule that governs the sequence. Our calculator tries to find common mathematical patterns. Here are some of the most common types of sequences:

Arithmetic Progression: A sequence where the difference between consecutive terms is constant (e.g., 2, 4, 6, 8...).
Geometric Progression: A sequence where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio (e.g., 2, 4, 8, 16...).
Fibonacci Series: A sequence where each number is the sum of the two preceding ones (e.g., 0, 1, 1, 2, 3, 5...).
Power Series: A sequence based on powers of a number (e.g., 1, 4, 9, 16... which is n²).
Mixed Series: Many sequences follow a more complex pattern involving multiple operations (e.g., multiplication and addition).

1. Find next number in the sequence 1, 3, 5, 7, 9

In this series, we can see a simple pattern. Each number is obtained by adding 2 to the previous number. This is an Arithmetic Progression.

1 + 2 = 3

3 + 2 = 5

... and so on.

Therefore, the next term will be 9 + 2 = 11.

∴ The next number for given series 1, 3, 5, 7, 9 is 11.

2. Find next number in the sequence 3, 7, 15, 31, 63

This series follows a mixed pattern. Each number is obtained by multiplying the previous number by 2 and then adding 1.

3 × 2 + 1 = 7

7 × 2 + 1 = 15

... and so on.

Therefore, the next term will be 63 × 2 + 1 = 127.

∴ The next number for given series 3, 7, 15, 31, 63 is 127.

FAQs

What types of sequences can this calculator solve?

This calculator is designed to solve basic arithmetic progressions, geometric progressions, and some common mixed-pattern sequences (like ×a + b). It may not solve more complex sequences like Fibonacci or those based on prime numbers.

What if my sequence has no simple pattern?

If the calculator cannot determine a common pattern, it will indicate that a simple pattern could not be found. Number sequences can be based on very complex rules that go beyond the scope of this tool.

Find next number in the sequence