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5 votes
Find the pattern and use it to list the next two terms in the sequence.

-3,6,-28,72,-360,2160, ___ ,___

User MarcGV
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1 Answer

10 votes

Answer:

Explanation:

a₁ = -3 = (-1)¹×3

a₂ = 6 = (-1)²×2×3

a₃ = -28 = (-1)³×2²×7

a₄ = 72 = (-1)⁴×2³×3²

a₅ = -360 = (-1)⁵×2³×3²×5

a₆ = 2160 = (-1)⁶×2⁴×3³×5

That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.

User Peggy
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