Question

The largest doll is 12 inches tall. The height of each doll is 7/10(fraction) inch less than the next larger doll. Write an expression involving a power for the height of the small doll. What is the height of the smallest doll?

Answer 1

1st doll: 12 inches

2nd doll: \[12\times \frac{ 7 }{ 10 }\]

3rd doll:\[12 \times \frac{ 7 }{ 10 }\times \frac{ 7 }{ 10}=12(\frac{ 7 }{ 10 })^2\]

4th doll: \[12(\frac{ 7 }{ 10 })^2\]\[\times \frac{ 7 }{ 10}=12(\frac{ 7 }{ 10 })^3=4.116\]

Answer 2

What do I add to the equation?

Answer 3

Do I just add 7/10?

Answer 4

The expression for the height of the smallest doll is \[12(\frac{ 7 }{ 10})^3 \]

Answer 5

and the height is 4.116 inches

Answer 6

Oh, okay. Thank you.

Answer 7

Forgot there were 4 dolls.

Answer 8

Lol.

Answer 9

I know the expression of the smallest doll because 12 is multiplied by 0.7^(n-1)

Answer 10

Okay.

Answer 11

So the height of the doll can be done by 12 * 0.7^(n-1)

Answer 12

The height of the smallest doll?

Answer 13

4th doll is 12*0.7^(4-1) which equals 12*0.7^(3)

Answer 14

12*0.7^(3) is 4.116

Answer 15

Thank you justus.

Answer 16

No. As I said above the height of the smallest doll is 4.116 and I also wrote the expression along with it too which is \[12(\frac{ 7 }{ 10 })^3\]

Answer 17

Of course!