Geometric Sequences Quiz

What is a geometric sequence?

• A sequence where each term is subtracted by a constant number.

• A sequence where each term is squared.

• A sequence where each term is multiplied or divided by a constant number.

• A sequence where each term is added by a constant number.

In a geometric sequence, what does the common ratio represent?

• The difference between consecutive terms.

• The sum of all terms.

• The number each term is multiplied or divided by.

• The first term of the sequence.

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

• Divide the first term by the common ratio raised to the power of n-1.

• Multiply the first term by the common ratio raised to the power of n-1.

• Multiply the first term by the common ratio raised to the power of n.

• Add the first term to the common ratio raised to the power of n.

What is the 15th term of the sequence 4, 8, 16, 32?

• 8,192

• 32,768

• 65,536

• 16,384

In the sequence 1, 500, 250, 125, what is the common ratio?

• 2

• 0.5

• 3

• 1.5

What is the 10th term of the sequence 1, 500, 250, 125?

• 2.953125

• 0.953125

• 3.953125

• 1.953125

In the word problem, what is the first term of the sequence?

• $25

• $100

• $200

• $50

What is the common ratio in the bank deposit problem?

• 3

• 1.5

• 2

• 0.5

How much money will be deposited in the 12th month?

• $25,600

• $51,200

• $51,536

• $50,000

What is the formula to find the nth term in a geometric sequence?

• a_n = a_1 + r^(n-1)

• a_n = a_1 * r^(n-1)

• a_n = a_1 / r^(n-1)

• a_n = a_1 - r^(n-1)