Find the first three terms of the sequence whose $n t h$ term is $2 n + 3$ .

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Solution

Here, $T_{n} = 2 n + 3$
To find, $T_{1}$ , substitute $n = 1$ in $T_{n} = 2 n + 3$
$T_{1} = 2 (1) + 3 = 2 + 3 = 5$
To find $T_{2}$ , substitute $n = 2$ in $T_{n} = 2 n + 3$
$T_{2} = 2 (2) + 3 = 4 + 3 = 7$
Similarly, $T_{3} = 2 (3) + 3 = 6 + 3 = 9$
$∴$ The first three terms of the sequence are $5, 7, 9$ .

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