next three terms in the sequnece

pattern

next three terms in the sequnece

pattern

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Granada Hills, CA

Although James has correctly identified one possible answer, this question is in fact** ill-posed** as the next three terms in the sequence could be any three values. I'll demonstrate by making the next three terms N_{1 ,
}N_{2 }and N_{3. }Then the sequence could be generated as the solutions to this algebraic equation:

(x - 2)(x - 5)(x - 10)(x - 50)(x - N_{1})(x - N_{2})(x - N_{3}) = 0 where N_{1} , N_{2} and N_{3} are any numbers.

Harrisonburg, VA

After the first two initial values (2,5), the next value the product of the previous two, or:

F_{n} = F_{n-1} x F_{n-2}

10 = 5 x 2

50 = 10 x 5

500 = 50 x 10

25,000 = 500 x 50

12,500,000 = 25,000 x 500

J.T.

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