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)
(16(x^4)(y^10))/(8(x^7)(y^2))
(16/8)(x^(4-7))(y^(10-2))
(2)(x^(-3))(y^8)
(2(y^8))/(x^3)
Answer:x=-2
Step-by-step explanation:
You want to set up the equal to zero
Then add six to both sides
Then divide by -3x
Answer: b.97
97+37+46=180
The Y is multiplying by 2 across the X OR the X’s are being divided by 2
Ex: 3x2=6 OR 6/3=2
