If $T_{n} = 5 n - 2$ , find $S_{4}$

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Solution

Consider,
$T_{n} = 5 n - 2$
$T_{1} = 5 (1) - 2 = 5 - 2 = 3$
$T_{2} = 5 (2) - 2 = 10 - 2 = 8$
$T_{3} = 5 (3) - 2 = 15 - 2 = 13$
$T_{4} = 5 (4) - 2 = 20 - 2 = 18$
$S_{4} = T_{1} + T_{2} + T_{3} + T_{4}$
$S_{4} = 3 + 8 + 13 + 18$
$∴ S_{4} = 42$ .

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