Which type of sequence is represented by the given table?
x
1
2
3
4
y
4
-9.6
23.04
-55.296

a.
the table represents a geometric sequence because the successive y-values have a common ratio of -2.4.
b.
the table represents an arithmetic sequence because the successive y-values have a common difference of -17.
c.
the table represents a geometric sequence because the successive y-values have a common ratio of 0.4.
d.
the table represents an arithmetic sequence because the successive y-values have a common difference of 4.2.

A.  

The table represents a geometric sequence because the successive y-values have a common ratio of -2.4.

Step-by-step explanation:

A geometric sequence, with a first term a and common ratio r, is generally represented as;

The first term refers to the first number that appears in the sequence. The common ratio is the constant that multiplies a preceding value to obtain the successive one. That is, to obtain from we multiply by the common ratio r.

In the table given the y-values are as follows;

4, -9.6, 23.04, -55.296

To obtain the common ratio we simply divide each value by the preceding one;

(-9.6)/4 = -2.4

23.04/(-9.6) = -2.4

(-55.296)/23.04 = -2.4

Since the sequence of numbers has a common ratio then it qualifies to be a geometric sequence. Thus, the table represents a geometric sequence because the successive y-values have a common ratio of -2.4.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

20%

step-by-step explanation: