If $T_{n} = 2 n^{2} + 5$ then find $T_{3}$

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Solution

Solution:
$T_{n} = 2 n^{2} + 5$
or, $T_{3} = 2 \times 3^{2} + 5$
$= 2 \times 9 + 5$
$= 18 + 5$
$= 23$
$∴ T_{3} = 23.$

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