Answer:
the nth term of the sequence is 
Step-by-step explanation:
Given : An arithmetic sequence begins as follows: 
To find : Which of the following gives the definition of its nth term?
Solution :
The nth term of the A.P is 
The first term is 
The common difference is 

Substitute in the formula,



Therefore, the nth term of the sequence is 
do parentheses first which gives you 42-4+111 then aubtract to get 38+111 which equals 149
Answer:
The original amount deposit is $1641627.68.
Step-by-step explanation:
Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.
To find : How much was your original deposit?
Solution :
Applying interest formula,

Where, A is the amount i.e. A=$3783193
P is the principal value i.e. the original deposit
r is the interest rate r=11%=0.11
t is the time t=8 years.
Substitute the value in the formula,





Therefore, The original amount deposit is $1641627.68.
Answer:
15000(1.003425)^12t ;
4.11%
4.188%
Step-by-step explanation:
Given that:
Loan amount = principal = $15000
Interest rate, r = 4.11% = 0.0411
n = number of times compounded per period, monthly = 12 (number of months in a year)
Total amount, F owed, after t years in college ;
F(t) = P(1 + r/n)^nt
F(t) = 15000(1 + 0.0411/12)^12t
F(t) = 15000(1.003425)^12t
2.) The annual percentage rate is the interest rate without compounding = 4.11%
3.)
The APY
APY = (1 + APR/n)^n - 1
APY = (1 + 0.0411/12)^12 - 1
APY = (1.003425)^12 - 1
APY = 1.04188 - 1
APY = 0.04188
APY = 0.04188 * 100% = 4.188%