If $S_{5} = 15$ and $S_{6} = 21$ , find $t_{6}$ .

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Solution

$S_{n}$ represents sum of first $n$ terms of an A.P.
Sum of first five terms of an A.P. is $S_{5}$ $= 15$
Sum of first six terms of an A.P. is $S_{6}$ $= 21$
Sixth term $= S_{6} - S_{5}$ $= 21 - 15$ $= 6$
Hence, the sixth term is $6$ .

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