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Question
Find n if the given value of x is the nth term of the given A.P.
25, 50, 75, 100, ...; x = 1000
Solution
In the given problem, we need to find the number of terms in an A.P
25, 50, 75, 100 …
We are given,
`a_n = 1000`
Let us take the total number of terms as n
So,
First term (a) = 25
Last term (`a_n`) = 1000
Common difference (d) = 50 - 25
= 25
Now as we known
`a_n = a + (n - 1)d`
So for the last term
1000 = 25 + (n - 1)25
1000 = 25 + 25n - 25
1000 = 25n
`n = 1000/25`
n = 40
Therefore, the total number of terms of the given A.P. is `n = 40`
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