Question 4 - Figure it out - Page 140 - Chapter 6 Class 8 - Algebra Play (Ganita Prakash II)

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Question 4 If the first three Virahāṅka-Fibonacci numbers are written in the bottom row of a number pyramid with three rows, fill in the rest of the pyramid. What numbers appear in the grid? What is the number at the top? Are they all Virahāṅka-Fibonacci numbers?In Virahānka-Fibonacci Numbers, each number is sum of the previous two numbers The sequence is: 1, 2, 3, 5, 8, 13, 21, 34 … Let’s put numbers 1, 2, 3 in a Number Pyramid with three rows So, 2nd row left: 1 + 2 = 3 2nd row right: 2 + 3 = 5 Thus, 3rd row top = 5 + 3 = 8 Filled pyramid looks like We notice that these numbers are from the Virahānka-Fibonacci Numbers sequence : 1, 2, 3, 5, 8, 13, 21, 34 … And the number at the top is the 5th number in the sequence