CBSE Class 8 Mathematics Question 4 of 11

Algebra Play — Question 4

Back to all questions
4
Question
If the first three Virahanka-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 Virahanka-Fibonacci numbers?
Answer

We know that the first three Virahanka-Fibonacci number sequence = 1, 2, 3 Here, the bottom row Let a, b, and c be the missing numbers. b = 1 + 2 = 3 c = 2 + 3 = 5 and a = b + c = 3 + 5 = 8 The complete pyramid is: The numbers appear in the grid = 1, 2, 3, 3, 5, 8 ∴ The number at the top = 8 Yes, 1, 2, 3, 3, 5, 8 are Virahanka-Fibonacci numbers.