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Exploring Geometric Sequences

Authored by yasin mahmud

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12th Grade

Exploring Geometric Sequences
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common ratio of the sequence 2, 6, 18, 54?

6

4

2

3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the 5th term of the geometric sequence where the first term is 3 and the common ratio is 4.

256

1024

512

768

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculate the sum of the first 6 terms of the geometric sequence 5, 15, 45, ...

1500

1820

600

3000

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the geometric sequence 1, 1/2, 1/4, ... into its general form.

a_n = 2^(n-1)

a_n = (1/2)^(n-1)

a_n = (1/3)^(n-1)

a_n = 1/(2n)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the first term of a geometric sequence is 7 and the common ratio is 3, what is the 10th term?

729

2187

2401

137781

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the common ratio of the sequence 81, 27, 9, 3.

1/4

1/3

2/3

1/2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of the first 4 terms of the geometric sequence with first term 2 and common ratio 5?

100

50

312

200

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