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Often asked: What is the smallest number that is both triangular and square?

1 and 36 are both triangular numbers and square numbers. The next number that can make the same claim is 1225.

What number is both triangular and square?

From (1), we get S(3) = 41616, whereas there is another number, 1225, that is both triangular and square: 1225 = 49·50/2 = 352.

Which is the smallest number that can be shown both as a triangle and square?

the answer is 0. Step-by-step explanation: hope it helps.

What is the smallest triangular number?

Smallest triangular number with 2 digits = 10, and 4 is the index of 10. 3 digits = 105, and 14 is the index of 105.

Which two digit number is a square number as well as triangular number?

The first two numbers that are both squares and triangles are 1 and 36. A square number is a number n where n many pebbles can be arranged in a square.

Is 1 a square and triangular number?

Explicit formulas. Hence, the first square triangular number, derived from (3,1), is 1, and the next, derived from 6 × (3,1) − (1,0) = (17,6), is 36.

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What are the first 3 square numbers?

Square Numbers It is called a square number because it gives the area of a square whose side length is an integer. The first square number is 1 because. The first fifteen square numbers are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 and 225.

What’s the 4th triangular number?

The second triangular number is 3. The 3rd triangular number is 6 and the 4th triangular number is 10.

Which is the smallest number that can be shown as a rectangle?

The numbers that can be arranged to form a rectangle are called Rectangular Numbers (also known as Pronic numbers). The first few rectangular numbers are: 0, 2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, 156, 182, 210, 240, 272, 306, 342, 380, 420, 462…… Given a number n, find n-th rectangular number.

Is 16 a triangular number?

List Of Triangular Numbers. 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120,136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666, 703, 741, 780, 820, 861, 903, 946, 990, 1035, 1081, 1128, 1176, 1225, 1275, 1326, 1378, 1431, and so on.

Which is the smallest square number?

Step-by-step explanation: we multiply the LCM 90 by 2*5, hence required smallest square number is 900.

Is 4950 a triangular number?

4950 is the 99-th triangular number and also the 50-th hexagonal number.

What are triangular and rectangular numbers?

If you double a triangular number, you get a rectangular number. For the nth triangle number, the sides of the rectangle are n and n+1. Therefore, the nth triangular number can be written n(n+1)/2. If 4851 is a triangular number, 9702 can be expressed as n(n+1).

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