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 Patterns 30 Flashcards |
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What is the sum of the first four odd numbers? |
Card: 1 / 30 |
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The sum of the first four odd numbers (1 + 3 + 5 + 7) is 16. |
Card: 2 / 30 |
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Fill in the blank: A triangular number is formed by the sum of the first ___ natural numbers. |
Card: 3 / 30 |
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N |
Card: 4 / 30 |
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True or False: The sequence 2, 4, 8, 16 is a geometric sequence. |
Card: 5 / 30 |
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True |
Card: 6 / 30 |
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What is the next square number after 36? |
Card: 7 / 30 |
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The next square number after 36 is 49, which is 7². |
Card: 8 / 30 |
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Fill in the blank: The first triangular number is ___ and the second is ___. |
Card: 9 / 30 |
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1, 3 |
Card: 10 / 30 |
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If the common difference of an arithmetic sequence is 5, what is the 10th term if the first term is 2? |
Card: 11 / 30 |
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The 10th term is 2 + 9 * 5 = 47. |
Card: 12 / 30 |
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Riddle: I am a number that can be arranged in a triangle and I equal the sum of my first n natural numbers. What am I? |
Card: 13 / 30 |
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A triangular number. |
Card: 14 / 30 |
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What is the formula for finding the nth term of a geometric sequence? |
Card: 15 / 30 |
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The nth term can be found using the formula a * r^(n-1), where a is the first term and r is the common ratio. |
Card: 16 / 30 |
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Fill in the blank: The pattern of square numbers can be expressed as ___, ___, and ___. |
Card: 17 / 30 |
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1, 4, 9 |
Card: 18 / 30 |
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True or False: The sum of any two consecutive triangular numbers equals a square number. |
Card: 19 / 30 |
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True |
Card: 20 / 30 |
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How do you calculate the nth triangular number? |
Card: 21 / 30 |
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The nth triangular number is calculated using the formula n(n + 1)/2. |
Card: 22 / 30 |
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What is the common ratio of the geometric sequence 3, 9, 27, 81? |
Card: 23 / 30 |
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The common ratio is 3. |
Card: 24 / 30 |
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Riddle: I am the result of multiplying a number by itself. What type of number am I? |
Card: 25 / 30 |
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A square number. |
Card: 26 / 30 |
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Fill in the blank: The ___ pattern involves repeating shapes without gaps or overlaps. |
Card: 27 / 30 |
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Tiling |
Card: 28 / 30 |
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If the first term of an arithmetic sequence is 7 and the common difference is 3, what is the 5th term? |
Card: 29 / 30 |
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The 5th term is 7 + 4 * 3 = 19. |
Card: 30 / 30 |
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