Answer: aₙ = 3 + 4ⁿ⁻¹
So the formula would be:
<u>aₙ = 3 + 4ⁿ⁻¹</u>
Where a₁ = 3
Common Ratio (r) = 4
And n = the term number that needs to be found out
Step-by-step explanation:
<u>Let's check if the answer is right:</u>
To find the 1st number in the term we can substitute 1 in for n in the equation:
a₁ = 3 + 4¹⁻¹
a₁ = 3 + 4⁰
a₁ = 3 + 1
a₁ = 4
And if going back and checking the first number in the sequence given is indeed 4, therefore this equation is correct
Hope this helps!
Answer:
20.25
Explanation:
We first need to find the length of one side of the square. We can do this by dividing the area by 4 (27/4), since a square has four sides. You should get 6.75. Now you can multiply 6.75 by three since one side of the square is the same as one side of the triangle. Also, it is an equilateral triangle and all sides are the same. If you multiply correctly, you should get 20.25. Hope this helped!
Answer:
$98.33 was deposited in the account
Step-by-step explanation:
simple interest formula = (PRT)/100 ...where p is money, r is rate, t is time
using formula $17.70 = (P * 3% * 6)/100
P = 1770/18
P = $98.33
4% of $57.84
= 2.31 est. is sales tax
Answer:
<u>Option C. It is zero</u>
Step-by-step explanation:
The graph represents a quadratic equation
The quadratic equation has the form ⇒a x² + b x + c
The discriminant of the quadratic equation is D = b² - 4ac
From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.
- If D > 0 ⇒ Two real roots.
- If D = 0 ⇒ one real roots
- If D < 0 ⇒ Two imaginary roots.
The roots of the quadratic equation are the x-intercepts of the function.
As shown at the figure, the quadratic equation has only one point of intersection with the x-axis
So, the function has only one root ⇒ D = 0
So, the discriminant of the quadratic equation = 0
<u>The answer is option C. It is zero</u>
