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:
The answer to the question provided is 14.
Step-by-step explanation:
》The Distance Formula:
》Plug in.
Answer:
y=3
Step-by-step explanation:
This is an isosceles triangle because the two angles at the bottom are equal.
This means the two sides are equal
5y-2 = 13
Add 2 to each side
5y-2+2 =13+2
5y = 15
Divide each side by 5
5y/5 = 15/5
y =3
X=7.
9x-7y=63
9x-7 x 0=63
9x - 0=63
9x=63
X=7.
Y=-9
9 x 0 -7y=63
Answer:
Answer:
The probability that the average score of the 49 golfers exceeded 62 is 0.3897
Step-by-step explanation:
