Find the square numbers that we will get if we add the 4th 4th and 5th5th terms of the triangular numbers.
Question
Find the square numbers that we will get if we add the 4th and 5th terms of the triangular numbers.
Solution
Sure, let's break it down:
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First, we need to understand what triangular numbers are. Triangular numbers are a sequence of numbers where each number is the sum of the natural numbers up to that point. The first few triangular numbers are 1, 3, 6, 10, 15, 21, and so on.
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The 4th term of the triangular numbers is 10 and the 5th term is 15.
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We are asked to find the square numbers that we will get if we add the 4th and 5th terms of the triangular numbers. So, we add 10 and 15 together to get 25.
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The number 25 is a perfect square (since 5*5 = 25), so 25 is the square number we get when we add the 4th and 5th terms of the triangular numbers.
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