Which sentence is not a geometric progression? a) 1, 5, 25, 125 b) 4, 8, 16, 32 c) 3, 6, 9 12 d) 2, 6, 18, 54

c) 3, 6, 9 12  is NOT a geometric progression

Geometry sequences are series of numbers that have a constant ratio

or can be interpreted:

Each number is obtained by multiplying the previous number by a constant

The sequence can be:

a, ar, ar², ar³, ... etc.

Can be formulated

where:

a is the first term, and

r is the common ratio

So we have to see the series has the same ratio or not

a.

b.

c.

d.

a geometric sequence

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Determine whether the sequence below is a geometric

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the formula for a finite geometric series

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Keywords : a geometric sequence, the first term, the common ratio

The correct option is c.

Step-by-step explanation:

A geometric progression has common ratio. It means the ratio between any two constitutive terms are same.

(a)

The given sequence is

1, 5, 25, 125

It is a geometric progression because it has a common ratio, i.e., 5.

(b)

The given sequence is

4, 8, 16, 32

It is a geometric progression because it has a common ratio, i.e., 2.

(c)

The given sequence is

3, 6, 9 12

It is not a geometric progression. Therefore the correct option is c.

(d)

The given sequence is

2, 6, 18, 54

It is a geometric progression because it has a common ratio, i.e., 3.

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step-by-step explanation:

i can't solve unless i know what the line is

step-by-step explanation:

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