In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
Answer:
Step-by-step explanation:
We have been given that Martha has 8 cubic feet of putting soil in the 3 flowerpots. She wants to put the same amount of soil in each pot.
To find the amount of soil in each pot, we need to divide total soil (8 cubic feet) by number of pots (3) as shown below:
Therefore, Martha needs to put approximately 2.67 cubic feet of soil in each flower pot.
Answer:
y=5200(0.85)^x
Step-by-step explanation:
A photocopier is purchased for $5200 and depreciates in value by 15% per year. Which equation best describes the value of the photocopier in years? O.A. y=5200(1.15) OB. y = 5200(0_15) - O cy= 5200(1.85) ODy=5200(0.85)"
Answer:
The length of the slide is 10 feet.
Step-by-step explanation:
To find the length of the slide you have to use the formula:
a^2 + b^2 = c^2 (^2 means squared)
In this case:
a= 6 and b=8 c= unknown
6 squared (6 times 6) is 36
8 squared (8 times 8) is 64
Add these two numbers to get:
36+64=100
6^2+8^2=100
However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.
What number times itself equals 100? 10.
The length of the slide in 10 feet.
