2 plus 2 equals 4. 4 plus 4 equals 8. And 8 plus 8 equals 16.
Answer:
- <em>The value of the constant is </em><u>0.8</u>
Explanation:
<em>The graph</em> has the following properties:
- Horizontal-axis (independent variable): width
- Vertical-axis (dependent variable): height
- Points on the curve:
(0.5, 1.6), (0.8, 1), (1.6, 0.5), and (2, 0.4)
<em>The equation</em> represented by the graph is an inverse variation:
- Height = constant / width.
From that equation, you can solve for the contstant:
- constant = height × width
Now, you can take any ordered pair to find the constant:
- (0.5, 1.6) ⇒ constant = 0.5 × 1.6 = 0.8
- (0.8, 1) ⇒constant = 0.8 × 1 = 0.8
- (1.6, 0.5) ⇒ constant = 1.6 × 0.5 = 0.8
- (2, 0.04) ⇒ constant = 2 × 0.4 = 0.8
Thus, you have obtained that the constant is 0.8.
It's easy, just plug the values requested in n & solve:
A(n)=4+(n-1)(8)
second, n=2 ==> A₂ = 4 +(2-1)(8) = 12
fourth, n=4 ===> A₄ = 4 +(4-1)(8) = 20
tenth, n=10 ==> A₁₀ = 4 + (10-1)(8) = 72
This an Arithmetic progression:
with 1st term a₁ =4 & d ( common difference) =8
PEMDAS
6 * 7 - 3^2 * 9 + 4^3
6 * 7 - 9 * 9 + 64
42 - 81 + 64
-39 + 64
25
(P)eranthasis
(E)xponents
(M)ultiply
(D)ivision
(A)dd
(S)ubtract