Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in the simplest form 12,7,2,...

common difference = -5

Step-by-step explanation:

This is an arithmetic progression. The common difference will be gotten by subtracting the 1st term from the 2nd term. This will be:

1st term = 12

2nd term = 7

3rd term = 2

Common difference = 7 - 12 or 2 - 7 = -5

It isn't an geometric progression as the ratio isn't thesame

= 2nd term / 1st term

= 7/12

= 3rd term / 2nd term

= 2/7

Therefore, it's an arithmetic progression with difference of -5

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

there are no answer choices

step-by-step explanation: