The x and y coordinates of point S are increased by three to get to the midpoint.
(2,1) ----> (5,4)
To get to point t increase the coordinates by three again.
(5,4) -----> (8,7)
answer: (8,7)
This is a geometric sequence because each term is twice the value of the previous term. So this is what would be called the common ratio, which in this case is 2. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth value, a=initial value, r=common ratio, n=term number
In this case we have r=2 and a=1 so
a(n)=2^(n-1) so on the sixth week he will run:
a(6)=2^5=32
He will run 32 blocks by the end of the sixth week.
Now if you wanted to know the total amount he runs in the six weeks, you need the sum of the terms and the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) where the variables have the same values so
s(n)=(1-2^n)/(1-2)
s(n)=2^n-1 so
s(6)=2^6-1
s(6)=64-1
s(6)=63 blocks
So he would run a total of 63 blocks in the six weeks.
Answer:
Exosphere - 10,000 kilometers thick
Thermosphere - 513 kilometers
Mesosphere - 2200 km
Stratosphere - Depends, but most occurring thickness is 50km
Troposphere - 8-14km
Step-by-step explanation:
Double check and verify this information with your lesson since honestly the numbers could very well differ depending on your lesson and when they were taken. I hope this helps though..have a good one
