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Help me with this question.-example-1

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Answer:

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

User Xiangrui Li
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