Category Archives: Sequences

Example problem 1: Let a sequence be defined by a1 = 1, a2 = 2, an = an–1 + an–2 for n > 2. Find the sequence. Solution: a1 = 1, a2 = 2 an = an–1 + an–2 for … Continue reading →

The sequence theory is of two types, 1. Arithmetic sequence: The sequence 2, 5, 8, 11, 14… Each term, apart from the first is obtained by adding 3 to the preceding term. Such sequences are called Arithmetic sequence 2. Geometric … Continue reading →

Introduction of sequence theory: Let us learn about the sequence theory. 1, 2, 3, 4, 5, … 1, 3, 5, 7, 9, … 1, 8, 27, 64, 125, … The above patterns are generally known as sequences. The arrangement of … Continue reading →

The set of integer is the set of positive and negative whole numbers with zero, i.e. the set { ….. -4, -3, -2, -1, 0, 1, 2, 3, 4 …..}. The integer sequence can be specified by giving the formula … Continue reading →

f(n) = n! for n є N is known as factorial function. By definition f(0) = 0! = 1 f(1) = 1! = 1 (n+1)! = (n+1)n! When n is large f(n) is very large. A convenient approximation for n! … Continue reading →