Find the sequence if, $T_{n} = 5 n + 1$

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Solution

The given sequence is $t_{n} = 5 n + 1$ .

The first term $t_{1}$ can be determined by substituting $n = 1$ in the sequence $t_{n} = 5 n + 1$ as follows:

$t_{1} = (5 \times 1) + 1 = 5 + 1 = 6$

The second term $t_{2}$ can be determined by substituting $n = 2$ in the sequence $t_{n} = 5 n + 1$ as follows:

$t_{2} = (5 \times 2) + 1 = 10 + 1 = 11$

The third term $t_{3}$ can be determined by substituting $n = 3$ in the sequence $t_{n} = 5 n + 1$ as follows:

$t_{3} = (5 \times 3) + 1 = 15 + 1 = 16$

Hence, the sequence is $6, 11, 16, \dots \dots$ .

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