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.
The are 4 different possibilities to draw a ten, namely a ten of the four different suits. The probability of the event is the ratio of the 4 possibilities and the total number of possible choices, whcih is 52:
P(E) = 4/52 = 1/13 or about 7.7%
Answer:
y= 3× -9
Step-by-step explanation:
i hope it helped :)
Answer:
There are 50 quarts of 6% butterfat milk and 25 quarts of 3% butterfat milk.
Gl on the HW Or Test
.
Step-by-step explanation:
now, he had 3200, he took 1500 for deposit, so, 3200 - 1500, he had left in his pocket 1700.
so after 5 years, he'll have 1700 + 1800.
