Arithmetic Progression

A set of numbers arranged

A set of numbers arranged in a definite order where each number has a specific position. Examples include natural numbers 1,2,3,4... or perfect square

A sequence where the difference between

A sequence where the difference between consecutive terms is constant. This constant difference is called the common difference (d). If tₙ₊₁ - tₙ = d

The constant value added to each

The constant value added to each term to get the next term in an A.P. It can be positive (increasing A.P.), negative (decreasing A.P.), or zero (const

For an

For an A.P. with first term 'a' and common difference 'd', the nth term is given by: tₙ = a + (n-1)d. This formula allows direct calculation of any te

Two formulas exist for finding

Two formulas exist for finding the sum of first n terms (Sₙ): Sₙ = n/2[2a + (n-1)d] or Sₙ = n/2[first term + last term]. Carl Gauss's method demonstra