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
Hello.
First, let the number be r.
5 times r is written like this:
Now, add 45:
Now, the sum of 5r+45 is equal to the sum of 85 and 140:
In order to solve this equation, we need to add 85 and 140:
Now, subtract 45 from both sides:
The last step is to divide both sides by 5:
Therefore, the answer is
I hope it helps.
Have a nice day.
Answer:
24 degrees
Step-by-step explanation:
2b=180^o-132^o
2b=48^o
b=24^o
13,000, 000 is the correct answer
Answer: $30
Step-by-step explanation: The formula for simple interest is principal x rate x time.
Putting your numbers into the formula, it will look like this:
I = 500 x .06 x 1
I = 30 x 1
I = 30
The interest on $500 for one year is $30.
