Question 4 of 17intermediate🔍 AnalyzeShort Answer2 marks

What can you say about the numbers in the pyramid and the number at the top in the following cases? (i) The first four Virahānka-Fibonacci numbers are written in the bottom row of a four row pyramid. (ii) The first 29 Virahānka-Fibonacci numbers are written in the bottom row of a 29 row pyramid.

(i)
Answer

All numbers in the pyramid are Virahānka-Fibonacci numbers. The top number is the 7th VF number.

(ii)
Answer

All numbers in the pyramid are Virahānka-Fibonacci numbers, and the top is also a VF number.

Explanation

(i) With bottom row 1, 2, 3, 5, the pyramid generates 3, 5, 8 in row 3, then 8, 13 in row 2, and 21 at the top. All are VF numbers. (ii) The pattern continues for any number of rows. The pyramid construction rule matches the VF sequence definition.

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