Which sequences are geometric? check all that apply. –2, –4, –6, –8, –10, … 16, –8, 4, –2, 1 –15, –18, –21.6, –25.92, –31.104, … 4, 10.5, 17, 23.5, 30, … 625, 125, 25, 5, 1, …

The sequences which are geometric are;

A sequence is geometric if successive terms of the sequence differ by a given factor r.

In the question;

Geometric Sequence:

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Given sequences :

–2, –4, –6, –8, –10,...

16, –8, 4, –2, 1 ,

–15, –18, –21.6, –25.92, –31.104, …

4, 10.5, 17, 23.5, 30, …

625, 125, 25, 5, 1, ….

Let us find the ratios.

–2, –4, –6, –8, –10,...

First sequence is just being decreased by -2. So it would be an Arithmetic sequence.

16, –8, 4, –2, 1 ,

16/-8 = -2 and 4/-2 = -2.

In second sequence we got common ratio -2. Therefore, it's a geometric sequence.

–15, –18, –21.6, –25.92, –31.104, …

-15/-18 = 0.833

–21.6/ -18 = 0.833.

In second sequence we got common ratio 0.833. Therefore, it's a geometric sequence.

4, 10.5, 17, 23.5, 30, …

10.5/4 ≠ 17/10.5

Ratios are not same. So, it's not a geometric sequence.

625, 125, 25, 5, 1, ….

125/625 = 0.2 = 25/125.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.