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:10√2
Step-by-step explanation:
∆ABC is a right angle triangle
Angle A + Angle B + angle C = 180
There angel B = 180-135= 45
Angle A = Angle B
Therefore AC= BC=10
By Pythagoras ppt AB^2=10^2 +10^2
=100+100
=√200
=10√2
Answer:
It's $32.39.
Step-by-step explanation:
35.99 - 35.99*10% =
=35.99 - 35.99*0.1
=35.99 - 3.599
=32.391
32.391 is close to 32.39 so we will round it to that number.
The answer is $32.39.
Answer: 525kg
Step-by-step explanation:
To decrease 700kg by 25% implies
700 - 25% of 700kg
25% of 700 = 25/100 × 700kg
0.25 x 700
= 175
Therefore, to decrease 700kg by 25%, since 25% is 175kg, we subtract 175kg from 700kg
700kg - 125kg
= 525kg
