Question
The first and last term of an A.P. are $a$ and $l$ respectively. If $S$ be the sum of all the term of the A.P., show that the common difference is $\frac{l^{2}-a^{2}}{2 S-(l+a)}$.
Step 1
P.) is given by $a_n = a + (n-1)d$, where $a$ is the first term, $d$ is the common difference, and $n$ is the number of terms. Given that the last term $l$ is the nth term, we can write this as $l = a + (n-1)d$. Show more…
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