Answer:
<u>The expression to describe this sequence is Aₙ = (n - 1) * 1 - 6</u>
Step-by-step explanation:
1. Let's write an expression to describe the sequence which first four terms are as follows:
- 6, -5, -4, - 3.....
Aₙ = (n - 1) * 1 - 6; A₁ = - 6
A₁ = (n - 1) * 1 - 6 = (1 - 1) * 1 - 6 = 0 * 1 - 6 ⇒A₁ = - 6
A₂ = (n - 1) * 1 - 6 = (2 - 1) * 1 - 6 = 1 * 1 - 6⇒ A₁ = - 5
A₃ = (n - 1) * 1 - 6 = (3 - 1) * 1 - 6 = 2 * 1 - 6⇒ A₁ = - 4
A₄ = (n - 1) * 1 - 6 = (4 - 1) * 1 - 6 = 3 * 1 - 6⇒ A₁ = - 3
A₅ = (n - 1) * 1 - 6 = (5 - 1) * 1 - 6 = 4 * 1 - 6⇒ A₁ = - 2
A₆ = (n - 1) * 1 - 6 = (6 - 1) * 1 - 6 = 5 * 1 - 6⇒ A₁ = - 1
A₇ = (n - 1) * 1 - 6 = (7 - 1) * 1 - 6 = 6 * 1 - 6⇒ A₁ = 0
Answer:
Step-by-step explanation:It isn’t. There are really 4 different versions of the exponential function. Positive (like the growth of money invested at 5%), negative (like the US debt constantly becoming more negative), positive decay (like the half life of a radioactive element), or negative decay ( pay half your loan amount in year 1, 1/4 in year two, 1/8 in year three, you in theory will never pay your loan completely but the debt is growing closer to zero.
Answer:
3x( x+5) (x+4)
Step-by-step explanation:
3x^3 + 27x^2 + 60x.
Factor out the greatest common factor
3x( x^2 +9x+20)
Now factor inside the parentheses
What two numbers multiply to 20 and add to 9
5*4 = 20
5+4 =9
3x( x+5) (x+4)
Answer:
D. 12²•π
Step-by-step explanation:
Area of a circle = πr²
Radius (r) = ½ of diameter = ½*24 = 12 inches
Plug in the value into the area
Area = π * (12)²
Area = π * 12²
Area = 12²•π
Look at the tenths place when rounding to the nearest whole number. It is larger than 5 so round up. It will be 57.
