Evaluate the expression of a term of a geometric sequence

The video tutorial explains how to write an expression for a specific term in a geometric sequence. It focuses on calculating the ninth term using the formula a_n = a_1 * r^(n-1). The tutorial demonstrates the process of substituting known values into the formula and discusses the rules for multiplying exponents. The final expression for the ninth term is presented, acknowledging that further simplification is not possible due to the presence of a variable.

What is the formula for the nth term of a geometric sequence?

• a sub n = a sub 1 - r raised to the n - 1

• a sub n = a sub 1 + r raised to the n - 1

• a sub n = a sub 1 / r raised to the n - 1

• a sub n = a sub 1 * r raised to the n - 1

In the given problem, what is the value of a sub 1?

• 100

• 75

• 150

• 50

What is the exponent used when calculating the 9th term in the sequence?

• 7

• 9

• 10

• 8

What operation is performed when an exponent is raised to another exponent?

• Addition

• Division

• Subtraction

• Multiplication

Why can't the expression for the 9th term be further simplified?

• The variable X is present

• The exponent is too large

• The sequence is not geometric

• The base is unknown