Identify the pattern for the following sequence. find the next three terms in the sequence
ooo
5, 2,-1,-4,
a. subtract 3; -7, -10, -13
add 3; -7, -10, -13
subtract -3; 7, 10, 13
d. add 3; 1,4,7
select the best answer from the choices provided

a

Step-by-step explanation:

Each new term is obtained from the previous term by subtracting 3.

Starting with 5, 2, -1, -4, we subtract 3 from -4 to obtain the 5th term:  -7.

The next two terms are -10 and -13.  Answer (a) is correct.

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.