Question

1, 3, 6, 10, 15, 21, .... ತ್ರಿಭುಜ ಸಂಖ್ಯೆಗಳಾಗಿವೆ.
ಇದರಲ್ಲಿ 15ನೇಯ ತ್ರಿಭುಜ ಸಂಖ್ಯೆ​

Answer 1

The 15th number is 120.

• The depiction of numbers as an equilateral triangle arranged in a series or sequence is known as a triangular number sequence. The order of these numerals is 1, 3, 6, 10, 15, 21, 28, 36, 45, and so forth. The dots in the triangle design stand in for the numbers. The sequence of triangular numbers is produced by adding the previous number and the following number in ascending order.
• A triangular number is an abstract number that can be represented as an equilateral triangular grid of elements with each row having one more element than the one before it.
• The list of these numbers includes 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 210, 231, 253, 276, 406, 435, 465, 496, 528, 561, 595, 630, 666, 703, 741, 780, 820, 861, 903, 946, 990, 1035, 1081, 1128, 1176, 1225.

Hence, the 15th number is 120.

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