Which best describes the relationship between the successive terms in the sequence shown? 2.4, –4.8, 9.6, –19.2 The common difference is –7.2. The common difference is –2.4. The common ratio is –2.0. The common ratio is –0.5.

The common ratio is -2

Step-by-step explanation:

We can see that to get from 2.4 to -4.8 you multiply by -2. This applies for all of the terms. That means the common ratio is ,

-2

The common difference is –7.2.

Step-by-step explanation:

2.4  

–4.8,   difference = 7.2 here as -4.8 + -7.2 = 2.4

9.6,  difference = -14.4 here as 9.6 - 14.4 = -4.8

–19.2  difference = 28.8 here as -19.2  + 28.8 = 9.6

The common difference is –7.2. is correct

The common difference if it was  –2.4 we would not find the next number of the sequence.

With -7.2 we can subtract from 2.4 and find the second part of sequence and show -4.8 and so forth.

Therefore is the relationship as we add this difference to each previous number and can show this in n terms.

0 + 2.4 - 7.2  = -4.8

0 + 7.2 = 7.2

0+  7.2 + 7.2 = 14.4

0+ 14.4 + 7.2 + 7.2 = 28.8

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step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

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