SOLUTION: Insert two numbers between -40 & -5 so that the resulting sequence is a gp.

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Question 1063813: Insert two numbers between -40 & -5 so that the resulting sequence is a gp.
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
The middle term = sqrt%28%28-40%29%2A%28-5%29%29 = sqrt%28200%29 = 10%2Asqrt%282%29.

In any geometric progression the square of a middle term is equal to the product of its neighbors.

See the lesson
    - One characteristic property of geometric progressions
in this site, where this property of a geometric progression was proved.


There is a bunch of lessons on geometric progressions in this site
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
    - One characteristic property of geometric progressions
    - Solved problems on geometric progressions
    - Fresh, sweet and crispy problem on arithmetic and geometric progressions
    - Mathematical induction and geometric progressions
    - Mathematical induction for sequences other than arithmetic or geometric


Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Geometric progressions".