Question

Help me with this question.

Answer 1

The equation for the nth term of the arithmetic sequence is:

`a_(n) = a + (n-1)d\\`

The
`a_(30)` is 140

Explanation:

"a" represents the first term which is -5.

"d" represents the common difference which is 5.

To find the common difference, just subtract the 2nd and 1st term.

0 - (-5) = 5

Now put the values in the equation:

`a_(n) = a + (n - 1)d\\a_(n) = (-5) + (n - 1)5`

We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.

`a_(30) = -5 + (30-1)5\\a_(30) = -5 + (29)5\\a_(30) = -5 + 145\\a_(30) = 140`

So the 30th term is 140