sequencing

Question

jason runs 1 mile, the he runs 1/2 mile more, then he runs 1/4 mile more, and so on. If he continues this process indefinitely, how far will he run? Will he ever pass the tree that is 3 miles down the road?

Answer 1

Hi Natalie,

 

This is a geometric series with r=1/2

 

We're looking at an infinite series where a = 1

 

Σⁿ_i=1 a_i = a/(1-r)

 

1/(1-1/2) = 1/(1/2) = 2

 

Jason will reach 2 miles but not 3 miles.