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# Arithmetic Progression Questions and Answers

**Arithmetic Progression Questions and Answers for Practice**

There are a number of Arithmetic progression Questions and they have varied formulas for solving the sequence. In this page Arithmetic Progression Questions and Answers are given. ### Notations in Arithmetic Progression (AP)

- Initial term (a): In an arithmetic progression, the first number in the series is called the initial term.
- Common difference (d): The ‘d’ denotes the variance between all the consecutive terms of the progression.
- Nth term (a_{n}): The a_{n} defines the terms of the progression or sequence whereas ‘n denotes the position of the given number or alphabet which can be obtained by a_{n} = a + (n − 1)d.
- Sum of AP (Sn): The sum of an AP can be obtained by Sn = \frac{n}{2} [2a + (n − 1) d]

If ‘n’ is equal to one then it denotes the initial term of arithmetic progression. This is known as the precise method for an Arithmetic progression.

### General form of AP:

The general form of an AP is : **a, a + d, a + 2d, a + 3d, …….**

### Finite or Infinite Arithmetic Progressions

**Finite Arithmetic Progression**

When there are limited number of terms in the sequence then it is known as **Finite Arithmetic Progression**.

**For example: **10, 20, 30, 40, 50

**Infinite Arithmetic Progression**

When there are unlimited number of terms in the sequence then it is known as **Infinite Arithmetic Progression.**

**For example: **3, 5, 7, 9, 11, 13, ..…….

(1) If the difference (d) is positive, the terms of the sequence will increase towards positive infinity.

(2) If the difference is negative, the terms of the sequence will increase towards negative infinity.

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- AP GP HP – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Geometric Progressions – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Harmonic Progressions – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts

- AP GP HP –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Geometric Progressions –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Harmonic Progressions –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts

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