Geometric Sequences Practice Easy

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050

• -59,048

• -78,732

• 118,096

What is the next term in the geometric sequence 0.75, 3, 12, 48, ... ?

• 96

• 144

• 192

• 240

A sequence where each term after the first is obtained by multiplying the preceding term by a nonzero constant called the common ratio (r).

• Arithmetic Sequence

• Geometric Sequence

• Harmonic Sequence

• Fibonacci Sequence

In the geometric sequence

2, 6, 18, n, 162, ..., what is the value of n?

• 54

• 90

• 24

• 36

Which of the following is a geometric sequence?

• 1, 4, 7, 10, ...

• 1, 2, 6, 24, ...

• 1, 1, 2, 3, ...

• 1, 3, 9, 27, ...

If the first term of a geometric sequence is 6 and its common ratio is 2, the next three terms are:

• 12, 24, 48

• 8, 10, 12

• 4, 2, 0

• 3, 6, 9

Is the sequence 148, 1488, 14888, 148888, ... a geometric sequence?

• Yes, it is a geometric sequence.

• No, it is not a geometric sequence.

In a geometric sequence, the 4th term is -12 and the 5th term is -24. Find the common ratio.

• 2

• -2

Find the next three terms of the sequence 31104, 5184, 864, ___, ___, ___.

• 104, 44, 24

• 124, 44, 14

• 144, 24, 4

• 164, 54, 34