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Question
Find the nth term of the A.P. 13, 8, 3, −2, ...
Solution
nth term of the A.P. 13, 8, 3, −2, ...
Here
First term (a) = 13
Common difference of the A.P. (d) = 8 - 13
= -5
Now, as we know,
`a_n = a + (n - 1)d`
So for nth term
`a_n = a + (n -1)d`
`= 13 + (n - 1)(-5)`
`= 13 - 5n + 5`
= 18 - 5n
Therefore the nth term of the given A.P is `a_n = 18 - 5n`
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