Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:
The nth term of a geometric sequence is:
Where a is the first term and r is the common ratio.
Putting 
, we get
Therefore, the required formula for the given sequence is .
We need to find the 10th term of the given sequence. So, substituting 
in the above formula.
Therefore, the 10th term of the given sequence is 2.1875.
The annual discount is 3%, therefore the total discount for 1 year would be:
4300 × 3 ÷ 100 = 129$
Now, you can set a proportion:
discount : annual discount = loan days : days in one year
21 : 129 = x : 360
x = 21 × 360 / 129 = 58.6 days
Hence, the loan duration was 60 days.
P(t) = [ 64/ (1 + 11.e⁽⁻⁰ ⁰⁸t⁾]
In 1991, t = 1, hence:
P(t) = [ 64/ (1 + 11.e⁽⁻⁰ ⁰⁸ˣ¹⁾] = 5.7377 billion or rounded 5.74 billion
(Answer A)
2464 ÷ 2 = 1232 ;
1232 is half of 2464.
The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
<h3>What is factored form?</h3>
The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression 
in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
2. Taking x² as the common term
3. Taking y as the common term,
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
Learn more about Factored Form:
brainly.com/question/25094938
