Answer: 7 × ( 3^n - 1 )
Step-by-step explanation:
This is a geometric progression which has its nth term to be
Tn = ar^n- 1. Now from the question given, the sequence are 7, 21, 63, 189. This is an example of a finite sequence, To find the common ratio, you divide the second term by the first term. So
r = 21/7
= 3. , a = 7
Now to find the nth term put the values in the formula above.
Tn =ar^n-1
= 7(3)^n - 1)
= 7 × ( 3^n - 1 ).
Note, it is not 21^n - 1.
Answer:
292.50 dollars
Step-by-step explanation:
P = 650 is the the principal.
r = 0.09 is the interest rate in decimal form.
t = 5 is the number of years.
i = 650*0.09*5
i = 292.50 is the simple interest.
Answer:
45
Step-by-step explanation:
Answer:
top left
Step-by-step explanation:
it goes through the most dots
Answer:
Step-by-step explanation:
I’m assuming that the equation is to be written in slope intercept form (y=mx+b), so for this, you want to find the slope and y-intercept. To find the slope, use the equation in picture 1.
0 - 5 = -5
1 - 5 = -4
-5 / -4 = 1.25
So m, or the slope, is equal to 1.25.
To find the y-intercept, make a table like the second picture. Choose one of the ordered pairs as the given. I used 1,0.
0,?
1,0
Now find the change in x, which in this case, is 1. Then set up something like picture three.
1.25/1 = ?/1
?=1.25
Now backtrack to get:
0, -1.25
1, 0
Now we know what is y when x is 0, we know the y intercept and can make the equation:
y = 1.25x - 1.25