Find the missing terms of the arithmetic sequence. (Hint: The arithmetic mean of the first and fifth terms is the third term.)
3, a 2, a 3, a 4, negative 13, ...

The arithmetic sequence is: 3, -1, -5, -9, -13

Step-by-step explanation:

Recall that the nth term of an arithmetic sequence is defined via the formula:

where d is the common difference, n is the term number, and is the first term.

Since we know what the first and fifth terms are (3 and -13 respectively), we can find the common difference and with it any of the missing terms:

now that we know d=-4, we can find the missing terms:

2 5/8 is the final answer! : )

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1