GEOMETRIC SEQUENCE, MEAN AND SERIES

What is the common ratio of an infinite geometric series if the sum is 10 and the first term is 2?

• 𝑟 = 3/5

• 𝑟 = 4/5

• 𝑟 = 5/3

• 𝑟 = 5/4

What is the next term in the geometric sequence 3, 6, 12, …?

• 15

• 20

• 24

• 35

Which of the following is the missing first term of the geometric sequence ___, 2, -4, 8, -16, …?

• -2

• -1

• 1

• 2

The sum of an infinite geometric series exists if and only if the common ratio is ______.

• 0

• 1

• greater than 1

• between – 1 and 1

If the sum of the first seven terms of a geometric sequence is 547 and the common ratio is – 3, what is the first term of the sequence?

• 1

• 2

• 3

• 4

What is the next term in the geometric sequence 4, -12, 36 ?

• -42

• -54

• -72

• -108

What is the common ratio in the geometric sequence 6, 18, 54, 162 ?

• 3

• 5

• 7

• 9

In a geometric sequence, if 𝑎₁ = 2, 𝑎_𝑛 = 1,250 𝑎𝑛𝑑 𝑛 = 5. What is the common ratio?

• ±4

• ±5

• 4

• 5

The second term of a geometric sequence is 3/4 and its 4th term is 3. What is the first term?

• ± 3/2

• ± 3/8

• ± 1/8

• ± 1/2

Find the common ratio of the geometric sequence 8, 2, ½, 1/8, 1/32, …?

• 1/4

• 1/16

• 1/64

• 1/128