Answer:
<em>{9,19,39,79}</em>
Step-by-step explanation:
<u>Recursive Sequences</u>
The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:
f(n) = 2f(n-1)+1
f(1) = 4
To find the first four terms of the sequence, we set n to the values {2,3,4,5}
f(2) = 2f(1)+1
Since f(1)=4:
f(2) = 2*4+1
f(2) = 9
f(3) = 2f(2)+1
Since f(2)=9:
f(3) = 2*9+1
f(3) = 19
f(4) = 2f(3)+1
Since f(3)=19:
f(4) = 2*19+1
f(4) = 39
f(5) = 2f(4)+1
Since f(4)=39:
f(5) = 2*39+1
f(5) = 79
Measure of Hypotaneous = 5√5
And it's already given that b = 2a
By using pythagoras theorem:
a²+ b² = (5√5)²
Let's substitute for b as 2a in above equation we'll get:
a² + (2a)² = (5√5)²
a² + 4a² = 125
5a² = 125
a² = 25
a = √25 = 5
Therefore,
a= 5
and
b = 2a = 2(5) = 10.
Answer:
3/7
Step-by-step explanation:
The ratio is the number of red marbles and the number of blue marbles in a fraction, so the ratio would be 3/7
Answer:
y = 40 / x^1/3
Step-by-step explanation:
Given that :
y α x^1/3
y = k * 1 / x^1/3
y = k / x^1/3
When x = 125 ; y = 8
8 = k / 125^1/3
Cube root of 125 = 5
8 = k / 5
8 * 5 = k ; k = 40
Hence, expression becomes :
y = 40 / x^1/3
Use Pythagorean theorem
a^2 + b^2 = c^2
Plug in the info
b = 53, a = 41
41^2 + 53^2 = c^2
1681 + 2809 = c^2
c^2 = 4490
Squareroot of 4490 = 67.007
Perimeter = adding all sides
53m + 41m + 67.01m = 161.01 m
Solution: 161.01 meters
