Understanding Geometric Sequences

Understanding Geometric Sequences

12th Grade

10 Qs

quiz-placeholder

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Understanding Geometric Sequences

Understanding Geometric Sequences

Assessment

Quiz

Others

12th Grade

Practice Problem

Hard

Created by

yasin mahmud

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common ratio in a geometric sequence?

The common ratio is the difference between consecutive terms.

The common ratio is the average of the first and last terms.

The common ratio is the sum of consecutive terms.

The common ratio is the constant factor between consecutive terms.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the first term of a geometric sequence is 3 and the common ratio is 2, what is the second term?

9

6

12

4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a geometric sequence?

2, 6, 18, 54

1, 3, 5, 7

4, 8, 12, 16

5, 10, 15, 20

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

a_n = a_1 + r^(n-1)

a_n = a_1 * r^(n-1)

a_n = a_1 * n * r

a_n = r^(n-1)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the third term of a geometric sequence is 24 and the common ratio is 3, what is the first term?

18

6

12

8/3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a geometric sequence, if the first term is 5 and the fifth term is 405, what is the common ratio?

5

2

10

3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the sum of the first n terms of a geometric sequence?

S_n = a * r^n for r ≠ 1

S_n = a * n^2 for all r

S_n = a + r * n for r = 1

S_n = a(1 - r^n) / (1 - r) for r ≠ 1; S_n = n * a for r = 1.

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