Five marks example problems II — task. Mathematics State Board, Class 10.

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1. The general term for a sequence is defined as

a_{n} = \{\begin{array}{l} n (n + 3); n \in ℕ is odd \\ n^{2} + 1; n \in ℕ is even \end{array}\}

Find the eleventh and eighteenth terms.

Eleventh term \(=\)

Eighteenth term \(=\)

2. Find the first five terms of the following sequence.

a_{1} = 1, a_{2} = 1, a_{n} = \frac{a_{n - 1}}{a_{n - 2} + 3}; n \geq 3, n \in ℕ

The first five terms are:

i

i

\frac{i}{i}

\frac{i}{i}

\frac{i}{i}

Did you find an error?

3. Five marks example problems II