1. To find the suitable jump size we need a figure that is also a factor to both 15 and 30. The factors of 15 are 1, 3, 5, and 15. For 30 these are 1, 2, 3, 5, 6, 10, 15, and 30. Shared factors are all 1, 3, 5 and 15 and from the presented options, our choice is going to be number 5. Click here for morRead more

    To find the suitable jump size we need a figure that is also a factor to both 15 and 30. The factors of 15 are 1, 3, 5, and 15. For 30 these are 1, 2, 3, 5, 6, 10, 15, and 30. Shared factors are all 1, 3, 5 and 15 and from the presented options, our choice is going to be number 5.

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  2. Triangular numbers are in the form that every number denotes the sum of dots that make up an equilateral triangle. The formula for the nth triangular number is given as: Tₙ = n(n + 1) /₂. For the following sequence: T₁ = 1, T₂ = 3, T₃ = 6, T₄ = 10. The following number in the sequence is T₅ = 5(5 +Read more

    Triangular numbers are in the form that every number denotes the sum of dots that make up an equilateral triangle. The formula for the nth triangular number is given as:
    Tₙ = n(n + 1) /₂.

    For the following sequence:
    T₁ = 1, T₂ = 3, T₃ = 6, T₄ = 10.
    The following number in the sequence is T₅ = 5(5 + 1) /₂ = 15.

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  3. Square numbers are constructed by adding consecutive odd numbers. The trend for square numbers is determined as follows: 1 = 1² 1 + 3 = 4 = 2² 1 + 3 + 5 = 9 = 3² 1 + 3 + 5 + 7 = 16 = 4² This continues and yet the sum of the first n odd numbers always equates to n². Click here for more: https://www.tRead more

    Square numbers are constructed by adding consecutive odd numbers. The trend for square numbers is determined as follows:

    1 = 1²
    1 + 3 = 4 = 2²
    1 + 3 + 5 = 9 = 3²
    1 + 3 + 5 + 7 = 16 = 4²

    This continues and yet the sum of the first n odd numbers always equates to n².

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  4. The sequence 1, 3, 5, 7, … is a list of numbers not divisible by 2, that is, odd. Odd numbers have the general form 2n - 1, where n is a positive integer. Each number in this sequence is increasing by 2, ensuring it remains odd. Click here for more: https://www.tiwariacademy.com/ncert-solutions-clasRead more

    The sequence 1, 3, 5, 7, … is a list of numbers not divisible by 2, that is, odd. Odd numbers have the general form 2n – 1, where n is a positive integer. Each number in this sequence is increasing by 2, ensuring it remains odd.

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  5. Number theory is the branch of mathematics that studies properties and patterns of whole numbers. It explores concepts like prime numbers, divisibility, greatest common divisors, and number sequences. This field is fundamental to cryptography, coding theory, and various mathematical applications. ClRead more

    Number theory is the branch of mathematics that studies properties and patterns of whole numbers. It explores concepts like prime numbers, divisibility, greatest common divisors, and number sequences. This field is fundamental to cryptography, coding theory, and various mathematical applications.

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