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:
A>6
Step-by-step explanation:
A is greater than 6
A>6.
Answer:
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