Triangular Numbers
Have you ever wondered? What is common in handshakes, mystic rose, third diagonal of pascals triangle, Sum of first n natural numbers : Triangular Numbers... Mathematics is defined as the science of patterns! An interesting pattern can arise in so many different situations and places. One such example is of triangular numbers. In daily life you might have seen triangular pattern of arranging vegetables in market or logs arranged in arrays wider at the base and tapering at the top. Similarly bowling pins are arranged in triangular pattern- starting at one in first row and 4 in the last row. Let's see how this particular pattern is generated in other situations! Greetings_Handshakes_Mathematics! Let us have a warm beginning with a handshake! If everyone in this group/class shook hands with everyone else, once only. How many handshakes would have taken place? Whenever this question is posed the most lucrative answer is half, sometimes it is said that j...