Geometric Sequence Equations

What operation is primarily used in arithmetic sequences?

• Addition

• Subtraction

• Multiplication

• Division

If a sequence is not arithmetic, what is the next type of sequence to check for?

• Exponential sequence

• Cubic sequence

• Linear sequence

• Geometric sequence

In a geometric sequence, what operation is used to find the common ratio?

• Addition

• Subtraction

• Multiplication

• Division

How do you express the nth term in a geometric sequence?

• Difference raised to the power of n

• Base raised to the power of n

• Product of a ratio

• Sum of a series

What is the starting value of a sequence if the first term is not the result of the common ratio?

• A value derived by dividing the first term by the common ratio

• The first term itself

• One

• Zero

What happens to the terms in a geometric sequence where the common ratio is less than 1?

• They oscillate

• They remain constant

• They decrease

• They increase

How do you find the fourth term in a sequence with a starting value of 50 and a common ratio of 0.5?

• 50 * 0.5^4

• 50 * 0.5^2

• 50 * 0.5^3

• 50 * 0.5^5

What is the initial term of a sequence if multiplying by 1/3 gives the first term as 2/3?

• 3

• 2

• 1/3

• 1

In a sequence where each term is obtained by multiplying the previous term by 1/3, what is the fifth term if the first term is 2?

• 2/9

• 2/81

• 2/243

• 2/27

What method is used to solve for the starting value in a sequence?

• Multiplying the first term by the common ratio

• Dividing the first term by the common ratio

• Adding the common ratio to the first term

• Subtracting the common ratio from the first term