Geometric Sequence

Which of the following is a geometric sequence?

• 2, 4, 5, . . .

• 2, 6, 18, . . .

• 2, 4, 6, . . .

• 10, 20, 200, . . .

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

• -6

• 6

• 12

• -4

Solving for the nth term of geometric sequence, given that a₁ = 1 and r= 2, what is the value of the 4th term?

• 2

• 8

• 4

• 16

Solving for the nth term of geometric sequence, given that a₁ = 4 and r= 6, what is the value of the 4th term?

• 144

• 864

• 124

• 764

Write the explicit formula for the geometric sequence.

• t(n) = 10(2)^n-1

• t(n) = 2(10)^n-1

• t(n) = 5(2)ⁿ

• t(n) = 2(5)ⁿ

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Write the explicit formula for the geometric sequence.

• g_n = 4(3)^n-1

• g_n = 3(4)^n-1

• g_n = -4(3)^n-1

• g_n = 3(-4)^n-1

Suppose you have a geometric sequence with the term zero of 3 and a common ratio of -2. What is the 3rd term in this sequence?

Mathematical Equivalence

ON

Suppose you have a geometric sequence with the starting value of 3 and a common ratio of -2. What is the 4th term in this sequence?

Mathematical Equivalence

ON

• initial value

• increment

• starting point

• change rate

• common ratio

• opens up/down

• distance

• slope

• first term

• common difference