Find a28 in the arithmetic sequence: 5.8, 3.5, 1.2, -1.1,

-56.3

Step-by-step explanation:

We don't have to much guessing because it tells us it is arithmetic which means it has a common difference.

That is a term minus it's previous will be the same.

In general:

with if you wanted the recursive form.

You can also find the explicit form which would be more helpful for our task of finding the 28th term.

is the explicit form where is the common difference and is the first term.

Inputting -2.3 for and 5.8 for :

Now the 28th term or can be found by replacing n with 28:

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)