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The ﬁrst ﬁve terms in a quadratic sequence are shown below.

6, 9, 14, 21, 30, . . .

What is the next term in the sequence?

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6, 9, 14, 21, 30, . . .

What is the next term in the sequence?

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The next 5 term to be in sequence are 41, 54, 69, 86, and 105

the sequence shows an addition of odd numbers. 3, 5, 7, 9 so the next number to be added must be 11. and so on.

so 30 + 11 = 41.