The nth term of an A.P., the sum of whose n terms is Sn, is

Question:

The $n$th term of an A.P., the sum of whose $n$ terms is $\mathrm{S}_{n}$, is

(a) $S_{n}+S_{n-1}$

(b) $S_{n}-S_{n-1}$

(c) $S_{n}+S_{n+1}$

(d) $S_{n}-S_{n+1}$

Solution:

A.P. we use following formula,

$a_{n}=S_{n}-S_{n-1}$

So, the $n^{\text {th }}$ term of the A.P. is given by $a_{n}=S_{n}-S_{n-1}$. Therefore, the correct option is (b).

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