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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 4th and 5th5th terms of the triangular numbers.

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Solution

Sure, let's break it down:

  1. 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.

  2. The 4th term of the triangular numbers is 10 and the 5th term is 15.

  3. 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.

  4. 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.

This problem has been solved

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Problem StatementErin, a mathematician wants to calculate the sum of squares of the first n Triangular numbers. Write a recursive function called TotalSumOfSquares to help Erin that takes the input for n and outputs the sum of squares of the first n Triangular numbers.The formula to calculate the nth Triangular number is Tn = (n * (n+1)) / 2.ExampleIf n=4, the calculations are as follows:T1 = (1 * (1+1)) / 2 = 1T2 = (2* (2+1)) / 2 = 3T3 = (3 * (3+1)) / 2 = 6T4 = (4 * (4+1)) / 2 = 5So the sum of squares of first 4 triangular numbers = 12 + 32 + 62 + 52 = 1 + 9 + 36 + 100 = 146Input format :The input consists of an integer n, representing the number of triangular numbers to consider.Output format :The output prints an integer representing the sum of squares of the first n Triangular numbers.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1 ≤ n ≤ 50Sample test cases :Input 1 :4Output 1 :146Input 2 :29Output 2 :1212751

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