Given:
The sequence is 25, 20, 15, 10, 5.
To find:
The ninth term of the given sequence.
Solution:
We have,
25, 20, 15, 10, 5
It is an AP because the difference between two consecutive terms are same.
Here,
First term (a) = 25
Common difference (d) = 20-25
= -5
The nth terms of an AP is
Where, a is the first term and d is the common difference.
Putting a=25, n=9 and d=-5 to get the 9th term.
Therefore, the ninth term of the given sequence is -15.
Answer:
m = 4/3
Step-by-step explanation:
To find the slope of a line use the formula, where "m" means slope:
*You don't need to show this part on paper*
Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).
Point 1: (-2, 1) x₁ = -2 y₁ = 1
Point 2: (4, 9) x₂ = 4 y₂ = 9
Substitute the coordinates into the formula:
*Show this part on paper*
Simplify
Reduce by dividing by 2
Slope
The slope of the line is 4/3
Answer:
See explanation
Step-by-step explanation:
The standard compound interest formula is where:
P is the principal amount
r is the interest rate (typically as a percentage)
t is the time
n is the times compounded per unit of time
So,
1)
2)
3)
You should check my answers though, I may have mixed up some terms.