Question

What are AP and HP?

Answer 1

Step-1 Arithmetic Progression (AP):

• Arithmetic progression is a sequence of numbers in which the difference between any two consecutive numbers is a constant value.
• The constant value is called a common difference.
• The general form of an AP: $a,a+d,a+2d,a+3d,.....,$ where $a$ is the first term and $d$ is a common difference.

Step-2 Harmonic Progression (HP):

• A harmonic progression is a sequence of real numbers which is determined by taking the reciprocals of the arithmetic progression that does not contain 0.
• The general form of HP: $\frac{1}{a},\frac{1}{a+d},\frac{1}{a+2d},\frac{1}{a+3d},....$