Finding Common Ratio

What is the common ratio for the sequence 100, 50, 25, 12.5?

• 0.5

• 0.25

• 2

• 1

Calculate the common ratio for the series 3, 9, 27, 81.

• 6

• 12

• 18

• 3

If the general term of a geometric progression is 6 * (5^n), what is the common ratio?

• 30

• 6

• 5

• 1

Determine the common ratio if the general term is given by 4 * (2^n).

• 4

• 3

• 1

• 2

What is the common ratio if the first term is 1 and the fifth term is 81?

• 5

• 4

• 2

• 3

Find the common ratio for the geometric sequence.

10, 40, 160, 640, ...

• 2

• 4

• 10

• 1/2

Answer explanation

To find the common ratio, divide the second term by the first: 40/10 = 4. Check with the next terms: 160/40 = 4 and 640/160 = 4. Thus, the common ratio is 4.

Given the sequence, what is the common ratio?

• 4

• 2

• 1

• 1/2

Answer explanation

The common ratio in a geometric sequence is found by dividing any term by the previous term. If the sequence shows that each term is multiplied by 2 to get the next, then the common ratio is 2.

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Answer explanation

To find the common ratio, divide each term by the previous one. For example, -16/64 = -1/4, 4/-16 = -1/4, and -1/4 = -1/4. Thus, the common ratio is r = -1/4.

What is the common ratio in the geometric sequence 72, 36, 18, 9...

• 1/3

• 1/2

• 2

• 3

Answer explanation

In a geometric sequence, the common ratio is found by dividing any term by the previous term. Here, 36/72 = 1/2, 18/36 = 1/2, and 9/18 = 1/2. Thus, the common ratio is 1/2.

it is the vale obtain by dividing a term of geometric sequence to its preceding term.

• common factor

• common ratio

• common difference

• none of the given

Answer explanation

In a geometric sequence, the value obtained by dividing a term by its preceding term is called the common ratio. This ratio remains constant throughout the sequence, distinguishing it from arithmetic sequences, which use a common difference.