Answer:
An equation for the nth term of the arithmetic sequence.
Step-by-step explanation:
Given the sequence
2,5,8,11,...
An arithmetic sequence has a constant difference 'd' and is defined by
here
computing the differences of all the adjacent terms
Using the nth term formula
substituting a₁ = 2, d = 3
Thus, an equation for the nth term of the arithmetic sequence.
We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Now we will subtract principal amount from final amount to find amount of interest as:
Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.