Answer:
<h3>A.</h3>
The first term is 3 and the common difference is 4.
<u>The nth term is:</u>
- aₙ = a₁ + (n - 1)d
- aₙ = 3 + 4(n - 1) = 4n - 1
- aₙ = 4n - 1
<h3>B.</h3>
- -3, 9, -27, 81, -243, ...
The first term is -3 and common ratio is -3.
<u>The nth term is:</u>
- aₙ = a₁rⁿ⁻¹
- aₙ = -3*(-3)ⁿ⁻¹ = (-3)°
- aₙ = (-3)ⁿ
<h3>C.</h3>
- 3/4, 5/7, 7/10, 9/13, 11/16, ...
The numerator and the denominator are both AP.
<u>The numerator:</u>
<u>The nth term is:</u>
- bₙ = 3 + 2(n - 1) = 2n + 1
<u>The denominator:</u>
<u>The nth term is:</u>
- cₙ = 4 + 3(n - 1) = 3n + 1
<u>The nth term of the sequence is:</u>
- aₙ = bₙ/cₙ
- aₙ = (2n + 1)/(3n + 1)
Answer:
awnser would be 72
Step-by-step explanation:
I believe the answer is 5! You multiply 5 by 2, which equals 10, then subtract 5 from 10!
Answer:
a. 
.
b. The axis of symmetry for 
is 
.
Step-by-step explanation:
a. The vertex form of a quadratic is given by 
, where (h, k) is the vertex.
To convert from 
form to vertex form you use the process of completing the square.
Step 1: Write 
in the form 
. Add and subtract 4:
Step 2: Complete the square 
b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
For a quadratic function in standard form, , the axis of symmetry is 
.
The axis of symmetry for is .
Look at the graph shown below.
The correct Answer is 10049
