MYP Mathematics A concept based approach 4&5 Standard>Chapter 16 - What Comes Next? (Finding Patterns in Sequences)>Mixed practice>Q 9

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A quadratic sequence begins $3, x, 15, 25.5, \dots$ . Find the value of $x$ .

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Important Questions on What Comes Next? (Finding Patterns in Sequences)

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MYP Mathematics A concept based approach 4&5 Standard>Chapter 16 - What Comes Next? (Finding Patterns in Sequences)>Mixed practice>Q 10

Consider the honeycomb patterns below, which have side length $1, 2$ and $3$ hexagons respectively.

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Find the side length of the first pattern that contains over $1000$ hexagons.