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:
91
Step-by-step explanation:
Multiplication first, so 7x4 = 28
28+63=91
It is less because 8(2/8) would equal 2
Answer:
We want to divide 30 by it's half.
The half of 30 is 30/2 = 15
then we have: 30/15 = 2
Now we want to add the half of 18, that has ben divided by the half of the half of 12 hafter been divided by half.
The half of 12 is 12/2 = 6
the half of the half of 12 is 6/2 = 3
now, we wanto to divide the half of 18 by that number.
The half of 18 is 18/2 = 9
then we have 9/3 = 3
and we wanted to add this to the number previous found:
2 + 3 = 5
Answer:
The blue dot represents the absolute value of the number occupied by red dot.
