You bike 1 mile the first day of your training, 1.5 miles the second day, 2.5 miles the third day, and 4.5 miles the fourth day. If you continue this pattern, how many miles do you bike the seventh day?

32.5 miles on the 7th day

Step-by-step explanation:

1, 1.5, 2.5, 4.5

We need to determine the pattern

We are adding .5 + 1/4(2^n)

Lets check

n=1  .5+ 1/4(2) = .5+ .5 =1

n =2   .5 + 1/4*2^2 = .5 +1 = 1.5

n=3  .5 + 1/4 ( 2^3) = .5 + 8/4 = 2.5

n=4   .5 + 1/4 (2^4) = .5 + 16/4 = 4.5

n = 5  .5 + 1/4 (2^5) = .5 +32/4 = 8.5

n = 6   .5 + 1/4 (2^6) = .5 + 64/4 =16.5

n=7   .5 + 1/4(2^7)= .5 + 1/4(128) = 32.5

They bike 32.5 miles

add an image

step-by-step explanation:

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)