Answer:
a) the common difference is 20
b) 
c) the common difference is -13
d) 
Step-by-step explanation:
a) what is the common difference of the sequence xn
Looking at the table, we get x_3=16, x_4=36 and x_5= 56
Deterring the common difference by subtracting x_4 from x_3 we get
36-16 =20
So, the common difference is 20
b) what is x_8? what is x_12
The formula used is: 
We know common difference d= 20, we need to find 
Using 
we can find
So, We have 
Now finding 
So, 
Now finding 
So, 
c) what is the common difference of the sequence 
Looking at the table, we get a_7=104, a_8=91 and a_9= 78
Deterring the common difference by subtracting a_7 from a_8 we get
91-104 =-13
So, the common difference is -13
d) what is a_12? what is a_15?
The formula used is: 
We know common difference d= -13, we need to find 
Using 
we can find
So, We have 
Now finding 
, put n=12
So, 
Now finding 
, put n=15
So, 
Answer:
a) x^3y2
b) 6x^2y^3
Step-by-step explanation:
Answer:
In 4 years, you will have $2,635.38
Step-by-step explanation:
The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n) ^ (nt)
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for
Note that this formula gives you the future value of an investment or loan, which is compound interest plus the principal. Should you wish to calculate the compound interest only, you need this:
Total compounded interest = P (1 + r/n) ^ (nt) - P
Answer:
A, dilation by a scale factor of 2 and a reflection across the y-axis
Step-by-step explanation:
5 divided by -5 is -1 hope this helps
