Introduction to Sequences

Discover Sequences.

Tell me the meaning of sequences? The sequence of numbers that start with 2 and jump to 2 like 2 4 6 8 10 and so on is called A sequence of numbers.

Sequence is a set of numbers in a specific order or pattern. They are commonly used to study the patterns of mathematical equations and in real world phenomena. Two types of sequences exist: The numbers and geometric shapes.

Arithmetic sequences are sequences in which each number is a fixed distance or interval from the previous number. Known as the common difference This interval is called. The sequence 1 3 5 7 9 is an arithmetic sequence with a common difference of 2 since each number is 2 more than the previous number.

On the other hand Geometric sequences are sequences in which each number is a fixed multiple of the previous number. Known as the common ratio This fixed multiple is called the common ratio. The sequence 1 2 4 8 16 is a geometric sequence with a common ratio of 2 since each number is twice the previous number.

Sequences can be used to model a variety of phenomena such as population growth financial investments and even the structure of DNA. These also are an important concept in calculus where They are used to study the behaviour of functions and limits in the mathematical.