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What kind of number is formed when you add two consecutive triangular numbers?

Square numbers.


What happens when you add 2 consecutive triangular numbers?

When you add two consecutive triangular numbers, the result is a perfect square. For example, the first two triangular numbers are 1 (T1) and 3 (T2), and their sum is 4, which is (2^2). In general, the sum of the (n)-th triangular number (T_n) and the ((n+1))-th triangular number (T_{n+1}) equals ((n+1)^2). This relationship holds for all pairs of consecutive triangular numbers.


How many triangular numbers are also square numbers?

There are an many triangular numbers that are also square numbers. Simply put, the sum of two consecutive triangular number equals a square number. Examples include 1 and 36.


The sum of the squares of two consecutive positive numbers is 61. What is the number?

There is no single number here. The two seed numbers are 5 and 6; their squares sum to 61.


What is The sum of the squares of two consecutive positive numbers is 61 what is the smaller number?

The numbers are 5 and 6.


The sum of the squares of two consecutive positive numbers is 41 What is the smaller number?

4


The sum of the squares of two consecutive positive numbers is 61 What is the smaller number?

5.


The sum of the squares of two consecutive positive numbers is 41 What is smaller number?

4


The summ of the squares of two consecutive positive numbers is 41 what is the smaller number?

4


The sum of the squares of two consecutive even numbers is 52 what is the smaller number?

The smaller number is 4.


Triagular numbers are created by adding consecutive counting numbers?

triangular numbers are created when all numbers are added for example: To find the 5 triangular number (1+2+3+4+5).


The sum of the squares of two consecutive positive even numbers is 20 what is the smaller number?

2.