Finding the Explicit Formula for Geometric Sequences

What is the explicit formula for the nth term of a geometric sequence with first term a₁ and common ratio r?

• aₙ = a₁ * r^n

• aₙ = a₁ + r^n

• aₙ = a₁ * r^(n-1)

• aₙ = a₁ + r(n-1)

In Example 1, what is the common ratio of the sequence 6, 24, 96, 384?

• 5

• 4

• 3

• 2

What is the explicit formula for the sequence in Example 1?

• aₙ = 6 * 4^(n-1)

• aₙ = 6 + 4^(n-1)

• aₙ = 6 + 4^n

• aₙ = 6 * 4^n

In Example 2, what is the common ratio of the sequence -6, -2, -2/3, -2/9?

• 1/5

• 1/2

• 1/4

• 1/3

What is the explicit formula for the sequence in Example 2?

• aₙ = -6 + (1/3)^(n-1)

• aₙ = -6 * (1/3)^(n-1)

• aₙ = -6 + (1/3)^n

• aₙ = -6 * (1/3)^n

In Example 3, what is the common ratio of the sequence 1, 5, 25, 125?

• 5

• 4

• 3

• 2

What is the 10th term of the sequence in Example 3?

• 1,953,130

• 1,953,120

• 1,953,125

• 1,953,140

In Example 4, what is the common ratio of the sequence 7, -14, 28, -56?

• -4

• -2

• -5

• -3

What is the explicit formula for the sequence in Example 4?

• aₙ = 7 + (-2)^n

• aₙ = 7 * (-2)^n

• aₙ = 7 + (-2)^(n-1)

• aₙ = 7 * (-2)^(n-1)

What is the 8th term of the sequence in Example 4?

• -850

• -896

• -900

• -800