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Conjugate of a Complex Number

The 5th ter...

Question

The $5^{t h}$ term of the sequence defined by $t_{1} = 2$ , $t_{2} = 3$ and $t_{n} = t_{n - 1} + t_{n - 2}$ for $n \geq 3$ .

13

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Solution

The correct option is A $13$
$t_{1} = 2, t_{2} = 3$ and $t_{n} = t_{n - 1} + t_{n - 2}$
$t_{3} = t_{2} + t_{1} = 3 + 2 = 5$
$t_{4} = t_{3} + t_{2} = 5 + 3 = 8$
$t_{5} = t_{4} + t_{3} = 8 + 5 = 13$

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