Arithmetic Sequence is a sequence in which each term is obtained by adding or subtracting a common number to its preceding term. In other words, the difference between the adjacent terms in the arithmetic sequence is the same.

The**Arithmetic Sequence Formula** is given as,

The

a

a

d - common difference

Related Calculators | |

Arithmetic Sequence Calculator | Arithmetic Calculator |

Sequence Calculator | Arithmetic Mean Calculator |

Some solved problems on arithmetic sequence are given below:

### Solved Examples

**Question 1: **Find the 13^{th} term in the arithmetic sequence 1, 4, 7, 11, 15,.... ?

** Solution: **

The arithmetic sequence is given as,

a_{n} = a_{1} + (n - 1)d

From the given problem,

a_{1} = 1 ; n = 13 ; d = 3

a_{13} = 1 + (13 - 1)3

a_{13} = 1 + (12 $\times$ 3)

a_{13} = 1 + 36

a_{13} = 37

**Question 2: **Find the 7^{th} term in the arithmetic sequence 0, 5, 10, 15,.... ?

** Solution: **

The arithmetic sequence is given as,

a_{n} = a_{1} + (n - 1)d

From the given problem,

a_{1} = 0 ; n = 7 ; d = 5

a_{7} = 0 + (7 - 1)5

a_{7} = 0 + (6 $\times$ 5)

a_{7} = 0 + 30

a_{7} = 30

The arithmetic sequence is given as,

a

From the given problem,

a

a

a

a

a

The arithmetic sequence is given as,

a

From the given problem,

a

a

a

a

a

More topics in Arithmetic Sequence Formula | |

Sum of Arithmetic Sequence Formula | Arithmetic Sequence Explicit Formula |

Arithmetic Sequence Recursive Formula | |