Question
where A sequence can be generated by using a n =3a \ n-1\; a_{1} = 6 and is a whole number greater than 1. What are the first four terms of the sequence?
Answers
GPT 3.5
To find the first four terms of the sequence, we can use the given formula: aₙ = 3aₙ₋₁.
We're given that a₁ = 6. Using the formula, we can find the next terms:
a₂ = 3a₁ = 3 * 6 = 18
a₃ = 3a₂ = 3 * 18 = 54
a₄ = 3a₃ = 3 * 54 = 162
Therefore, the first four terms of the sequence are: 6, 18, 54, 162.
We're given that a₁ = 6. Using the formula, we can find the next terms:
a₂ = 3a₁ = 3 * 6 = 18
a₃ = 3a₂ = 3 * 18 = 54
a₄ = 3a₃ = 3 * 54 = 162
Therefore, the first four terms of the sequence are: 6, 18, 54, 162.