The first term of the arithmetic progression exists at 10 and the common difference is 2.
<h3>
How to estimate the common difference of an arithmetic progression?</h3>
let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.
We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula
The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.
9th term = 50
a + 8d = 50 ...............(1)
12th term = 65
a + 11d = 65 ...............(2)
subtract them, (2) - (1), we get
3d = 15
d = 5
If a + 8d = 50 then substitute the value of d = 5, we get
a + 8
5 = 50
a + 40 = 50
a = 50 - 40
a = 10.
Therefore, the first term is 10 and the common difference is 2.
To learn more about common differences refer to:
brainly.com/question/1486233
#SPJ4
Answer:
D. $512,000
Step-by-step explanation:
Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation
.
can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!
<h2>
<em><u>Pls mark brainliest!</u></em></h2>
Answer: idk jus needed the points so im answering
Answer: 20 Dollars
Step-by-step explanation:
15 divided by 3 is 5. So, then multiply 4x5 and that equals 20
(r,theta) represents polar coordinate .
And in (r,theta), there is neither any restriction on r nor on theta. It means both r and theta can either be positive or negative .
For e.g. (2,30 degree), (2,-30 degree) both are correct .
So the given statement is true .