What is the difference between arithmetic and geometric progression?

Open in App

Solution

The difference between arithmetic and geometric progression:
Arithmetic Progression Geometric Progression
Arithmetic progression is a sequence of numbers in which the difference between any two consecutive numbers is a constant value. A geometric progression is a sequence in which each consecutive element is obtained by multiplying the preceding element by a constant.
The constant value is called a common difference. The constant value is called a common ratio.
The terms vary linearly. The terms vary exponentially.
The general form of an AP: $a, a + d, a + 2 d, a + 3 d, . . . . .$ , where $a$ is the first term and $d$ is a common difference The general form of a GP: $a, a r, a r^{2}, a r^{3}, . . . . .$ , where $a$ is the first term and $r$ is a common ratio.

Suggest Corrections

Similar questions

12

10

4 n + 1

2 n + 1

2 n + 1

2

\frac{1}{2}

T_{m}

T_{m}

{(\frac{5}{4})}^{2} n

\frac{9}{16}

Join BYJU'S Learning Program

Arithmetic Progression	Geometric Progression
Arithmetic progression is a sequence of numbers in which the difference between any two consecutive numbers is a constant value.	A geometric progression is a sequence in which each consecutive element is obtained by multiplying the preceding element by a constant.
The constant value is called a common difference.	The constant value is called a common ratio.
The terms vary linearly.	The terms vary exponentially.
The general form of an AP: $a, a + d, a + 2 d, a + 3 d, . . . . .$ , where $a$ is the first term and $d$ is a common difference	The general form of a GP: $a, a r, a r^{2}, a r^{3}, . . . . .$ , where $a$ is the first term and $r$ is a common ratio.