What can you say about the numbers in the pyramid and the number at the top in the following cases? Class 8

What can you say about the numbers in the pyramid and the number at the top in the following cases? Class 8

Question 1.

What can you say about the numbers in the pyramid and the number at the top in the following cases? Class 8

(i) The first four Virahanka-Fibonacci numbers are written in the bottom row of a four row pyramid.

(ii) The first 29 Virahanka-Fibonacci numbers are written in the bottom row of a 29 row pyramid.

Solution:

(i) In the case of first four Virahanka- Fibonacci numbers at the bottom row, the 7th Virahanka-Fibonacci number will be in the top row.

(ii) In the case of first 29 Virahanka- Fibonacci numbers in the bottom row, in the top row, (29 + 28)th, i.e., 57th Virahanka- Fibonacci number will be there.

Question 2.

If the bottom row of an n row pyramid contains the first n Virahanka- Fibonacci numbers, what can we say about the numbers in the pyramid? What can we say about the number at the top? Class 8

Solution:

In the top row, (n + (n - 1)th, i.e., (2n - 1)th Virahanka-Fibonacci numbers will be there.