SOLUTION: A line segment was halved and the two hence formed line segments were further halved and so on. Write an expression that represents the number of line segments obtained when halve

Algebra ->  Sequences-and-series -> SOLUTION: A line segment was halved and the two hence formed line segments were further halved and so on. Write an expression that represents the number of line segments obtained when halve      Log On


   



Question 892289: A line segment was halved and the two hence formed line segments were further halved and so on.
Write an expression that represents the number of line segments obtained when halved n times starting from n=1.
Is it possible to obtain 144 line segments in this process?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What is the process?

First halving gives 2.
Second halving gives 2*2=4.
Third halving gives 4*2=8.
Fourth halving gives 8*2=16.

You are forming powers of 2.
144 is not a power of 2.

2%5E7=128 and 2%5E8=256.