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18 March, 12:13

The largest doll is 12 inches tall. the height of each of the other dolls is 710710 the height of the next larger doll. write an expression involving a power for the height of the smallest doll. then evaluate the expression to find the height of the smallest doll to the nearest tenth of an inch.

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  1. 18 March, 13:04
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    the question doesn't say how many dolls. there would be an infinite number.

    But we'll just form the equation for the nth doll.

    Largest doll = 12 inches

    2nd doll = (12) x 0.7

    3rd doll = (12 x 0.7) x 0.7

    4th doll = [ (12 x 0.7) x 0.7) x 0.7

    OK, We now see the pattern. Each successive doll is mult by the previous

    doll height x 0.7

    the Nth doll, 12 is mult by 0.7 (n-1)

    So, the height of the nth doll can be expressed as: 12 x 0.7 (n-1)

    example: 4th doll = 12 x 0.7 (4-1) = 12 x 0.73

    10th doll = 12 x 0.7 (10-1) = 12 x 0.79 etc
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