Answer:
The general term for the sequence can be given by the following formula:
Step-by-step explanation:
If the sequence you typed starts with first term 11 and continues with terms 13, 15, 17, 19, We understand that the sequence is formed by adding 2 units to the previous term. So we are in the case of an arithmetic sequence with constant difference (d) = 2, and with first term 11.
Therefore, the nth term of this arithmetic sequence can be expressed by using the general form for an arithmetic sequence as:
Answer:
Step-by-step explanation:
For the problem:
The Least Common Multiple (LCM) of 3 and 6 is 6. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
Now that the fractions have like denominators, add the numerators:
The Greatest Common Factor (GCF) of 14 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.
7 ÷ 3 = 2R1, therefore:
Answer:
$1545.65.
Step-by-step explanation:
We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.
To solve our given problem we will use compound interest formula.
, where,
A = Final amount after t years,
P = Principal amount,
r = Interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Let us convert our given interest rate in decimal form.
Upon substituting our given values in compound interest formula we will get,
≈ $
Therefore, Victor will owe an amount of $1545.65 after one year.