Monday

January 26, 2015

January 26, 2015

Posted by **Tia** on Monday, December 5, 2011 at 7:24pm.

- math -
**Reiny**, Monday, December 5, 2011 at 10:05pmIn 10 moves, Rodney has covered 10 feet , so he is 20 ft from the door

in 10 moves , James has moved:

15 + 15/2 + 15/4 + 15/8 + 15/16 + .. + 15/2^9

this is a geometric series with a= 15, r = 1/2

sum(10) = 15(1 - (1/2)^10)/(1 - 1/2)

= (1023/1024)(30)

so he is (1/1024)(30) feet away from the door

notice on the 10th move, he is 1/2^10 of the distance away.

moving in this fashion , James will never get to the door

e.g., after 1000 moves he would still be (1/2^1000) of the distance away from the door

whereas Rodney will clearly reach the door after 30 moves.

**Answer this Question**

**Related Questions**

Math - I need help with this questions. a). An overhead garage door has two ...

math 4th grade question - Rodney is 3 times as old as his sister.A year ago, he ...

Math - Henry is building a front door. The height of the door is one foot more ...

Math - Rodney has 40 coins. In Rodney's coin collection 3/4 of the coins are not...

geometry - A ramp to a door is to rise one foot for every five of horizontal ...

psychology - Rodney is described by others as always in a hurry, always trying ...

Maths - Rodney and Rebecca play chess together. In the last 50 games, Rodney has...

algebra - Tom decides to make a rectangular desk top from a plywood door that ...

4th grade math - Rodney is three times as old as his sister. Ayear ago he was ...

physics - A rotating door is made from four rectangular sections, as indicated ...