First Number 

Common Difference 

nth Number to obtain 
First Number 

Common Ratio 

nth Number to obtain 
Nth number to obtain
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In number system a sequence is a set of numbers (with repetition allowed) that follows a particular pattern.
Example:
Sequence 1: 1, 4, 7, 10, 13, ?, ?
Answer 15 and 18 respectively
Explanation: difference between numbers is 3
Sequence 2: 2, 4, 8, 16, 32, ?, ?
Answer 64 and 128 respectively
Explanation: next number is multiplied by 2 of the previous number
There are different types of sequences
1.Arithmetic sequence
2.Geometric sequence
3.Fibonacci sequence
Example:
Example:
Fibonacci is a sequence of numbers whose next number is equal to sum of previous two numbers.
Example:
An famous astronomer named Halley in the year 1606 found an unusual phenomenon in the night sky. He found a glowing object passing through the sky leaving behind a trail of dust and ice, which is called a comet. He recalled his memory that the same phenomenon was happened in the 1530. By observing these values he predicted the next few years of the arrival of that comet. This comet is called as Haleys comet and the next appearance of the comet is 2062.
This is a real world example of arithmetic sequence where