Geometric Applications of Exponents

What is the common ratio for the sequence:
3, 15, 75...

• 12
• 1/5
• 5

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x2
• a_n = 11(2)^n-1

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4
• 3
• 2
• 6

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d
• a_n = a_n-1 * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Which formula is used to find the recursive equation for geometric sequences?

• a_n = a_n-1 + d
• a_n = a_n-1 * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Find the common ratio for the geometric sequence.

• 1
• -1
• 7
• -7

Find the common ratio for the geometric sequence.

• 2/3
• 3/2
• -2/3
• -3/2

Write the explicit formula for the geometric sequence.

• a_n = 162(2/3)^n-1
• a_n = (2/3)(162)^n-1
• a_n = 162(3/2)^n-1
• a_n = 162 + (n-1)(-54)

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1
• a_n = 100(2)^n-1
• a_n = 100(1/2)^n-1
• a_n = (1/2)(100)^n-1