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Ayushree
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Asked: 2025-08-01T07:29:54+00:00 In:

Can you see any relation between triangular numbers and square numbers? Extend the pattern shown and draw the next term.

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Yes, the sum of two consecutive triangular numbers gives a perfect square. For example, 1+3 = 4 (2²), 3+6 = 9 (3²). The next term in the pattern would be 10 + 15 = 25, which is 5².

Class 8 Mathematics Ganita Prakash A Square and A Cube

Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube NCERT solutions

cbse class 8 math new book question banklatest new syllabus maths ganita prakash class 8 chapter 1 a square and a cube solutionyou see any relation between triangular numbers and square numbers
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    1. There is a pattern where the sum of two consecutive triangular numbers equals a perfect square. Triangular numbers like 1, 3, 6, 10 and 15 when paired successively give squares: 1+3=4, 3+6=9, 6+10=16, 10+15=25. This means the next term would be 15+21 = 36 (6²). This connection reveals how triangular and square numbers are related through addition, showing beautiful patterns in number theory.

       

      For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:

      https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/

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