-4,-1,2,5
What is the 10th term of the sequence

23

Step-by-step explanation:

The sequence begins at -4 and we need the 10th term.

By finding the sum between any 2 sequential values we find the change to be 3 from one value to the next.

Knowing the change per value is 3 and that 4 values are already  shown we simply add 3 to 5 and then 3 to every value after 5 six more times.

6 x 3, or the total change in the unknown part of the sequence is 18, and 18+5 is 23

An equation that could be used for this would be 9(x)-4.

The reasoning for this is due to our starting value being -4, and that we are only increasing 9 times to get to the tenth term.

9(3)-4= 23

you'll just earn points here

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)