Exponent Rules and Geometric Sequences

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

What is the 14th term of the geometric sequence?

• 14,348,907

• 4,782,969

• 1,594,323

• 45

Is the sequence 256, 64, 16, 4,... geometric?

• yes

• no

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

Find the next three terms: 3, -18, 108, -648

• -6480, -3880, -233280

• 6480, -38880, 233280

• 5184, -31104, 186624

• 3888, -23328, 139968

Find a₉ in the sequence 4, 8, 16, 32, ... 

• 384

• 512

• 768

• 1,024

Simplify (c⁵)(c³)(c³)

• c⁴⁵

• 3c¹¹

• c¹¹

• 3c⁴⁵

Simplify the expression

• x²/2

• 2/x¹⁴

• 2x¹⁴

• 2/x²