Algebra II Exercise: Geometric Sequences

Question Group #1

Directions and/or Common Information:

Use a_n = a₁r^n-1 to write a rule for the following series.

2, 6, 18, 54, 162…

4, 6, 9, 13.5, 20.25…

0.5, -1, 2, -1, 8…

40, 14.8, 5.476, 2.02612…

40, -14.8, 5.476, -2.02612…

Question Group #2

Directions and/or Common Information: Use the following information to write the rule for the geometric sequence.

a₆ = 18750
r = 5

a₆ = 3
r = 1/2

a₉ = 472392
r = 3

a₆ = 15625
r = -5

Question Group #3

Directions and/or Common Information: Use the following information to write the rule for the geometric sequence.

a₁₂ = 20480
a₉ = 5120

a₁₀ = 98415
a₁₃ = 2657205

a₆ = 54432
a₉ = 11757312