Question

What is the common difference of 24, 14, 4,...

Answer 1

Answer:

-10

Step-by-step explanation:

In the question, it is asking you to find the common difference between the numbers 24, 14, 4,...

In order to find the common difference between the numbers, we would nee to find the change between them.

In other words, we need to find out how much it's changing by between each number.

When you look at the sequence 24, 14, 4, you would know that it is decreasing each time. This means that the common difference would be a negative number.

Now, we need to figure out how much it is decreasing by.

When you subtract 24 and 14, $24-14=10$, you would get 10. When you subtract 24 by 10, you would get 14. So we know that the difference would be -10.

We can also check the next number. When you subtract 14 by 4, $14-4=10$, you would get 10. Then, when you subtract 14 by 10, you would get 4.

This means that the common difference of the sequence is -10

I hope this helps you out.

Good luck on your academics.

Have a fantastic day!

Answer 2

Answer:

Step-by-step explanation:

The formal definition of a common difference is d = a_(n + 1) - a_n)

so

d = ?

a_(n+1) = a_2 = 14

a_n      = a_1 = 24

d = 14 - 24

d = - 10