Understanding Geometric Sequences

Understanding Geometric Sequences

10th Grade

15 Qs

quiz-placeholder

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Understanding Geometric Sequences

Understanding Geometric Sequences

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

Created by

Jayjay Batoon

Used 3+ times

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a geometric sequence?

A geometric sequence is a sequence where each term is the sum of the previous two terms.

A geometric sequence is a sequence of numbers that increases by a fixed amount each time.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a constant ratio.

A geometric sequence is a random arrangement of numbers without any specific pattern.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the common ratio in a geometric sequence?

Multiply any term by the previous term.

Add the first term to the last term.

Subtract the previous term from the next term.

Divide any term by the previous term.

3.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

If the first term is 3 and the common ratio is 2, what is the 5th term?

48

60

36

24

4.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

If a geometric series has a first term of 5 and a common ratio of 1/2, what is the sum of the first 4 terms?

10.5

7.25

12.0

9.375

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What happens to the sum of a geometric series as the number of terms approaches infinity when the common ratio is less than 1?

The sum approaches 0 as the number of terms approaches infinity.

The sum becomes negative as the number of terms increases.

The sum approaches a / (1 - r) as the number of terms approaches infinity.

The sum diverges to infinity as the number of terms increases.

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Can a geometric sequence have a negative common ratio? Give an example.

Example: 1, 2, 4, 8 with a common ratio of 2.

No, a geometric sequence cannot have a negative common ratio.

Yes, a geometric sequence can have a negative common ratio. Example: 2, -6, 18, -54 with a common ratio of -3.

A geometric sequence must always have a positive common ratio.

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the difference between a geometric sequence and a geometric series?

A geometric sequence is the sum of numbers; a geometric series is a list of those numbers.

A geometric sequence is a list of numbers; a geometric series is the sum of those numbers.

A geometric sequence is always finite; a geometric series is always infinite.

A geometric sequence has a constant difference; a geometric series has a variable difference.

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