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:
A 5 B 2 C3
Step-by-step explanation:
1. =4/16 which in simplified terms = 1/4
2. = 37/99 (find the lowest common denominator which is 99 then multiply them, then combine fractions then subtract them)
3. 2/25
4. 12/18 which simplified is 2/3
5. 5/15 which simplified = 1/3
Hope you understand that:)
Answer:
83 degrees.
Step-by-step explanation:
The angle of this line is 180. So take 180 - 97 and you should get 83 degrees. Hope this helped!
-Kirito
Answer:
Step-by-step explanation:
