What are triangular numbers?
2025
What are triangular numbers?
Answer: A. The numbers whose dot pattern can be arranged in triangles — Triangular numbers are numbers that can be represented as dots arranged in the shape of an equilateral triangle. The nth triangular number is the sum of the…
- A.
The numbers whose dot pattern can be arranged in triangles
- B.
The numbers which form a triangle on adding
- C.
The numbers which have three digits
- D.
The numbers which do not give perfect squares on adding
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Correct answer: A
Triangular numbers are numbers that can be represented as dots arranged in the shape of an equilateral triangle. The nth triangular number is the sum of the first n natural numbers.
For example:
1st triangular number: 1 (1 dot)
2nd triangular number: 3 (1 + 2 dots)
3rd triangular number: 6 (1 + 2 + 3 dots)
The formula for the nth triangular number is T_n = n(n+1)/2.
हिन्दी उत्तर:
त्रिभुज संख्याएँ वे संख्याएँ होती हैं जिन्हें बिंदुओं के रूप में एक समबाहु त्रिभुज के आकार में व्यवस्थित किया जा सकता है। nवीं त्रिभुज संख्या पहले n प्राकृतिक संख्याओं का योग होती है।
उदाहरण के लिए:
1वीं त्रिभुज संख्या: 1 (1 बिंदु)
2वीं त्रिभुज संख्या: 3 (1 + 2 बिंदु)
3वीं त्रिभुज संख्या: 6 (1 + 2 + 3 बिंदु)
nवीं त्रिभुज संख्या का सूत्र T_n = n(n+1)/2 है।