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Subjects
Mathematics State Board
Class 10
Numbers and Sequences
Sequences

5. Two marks example problems IV

Exercise condition:

6 m.

Find the general term for the following sequences.

(i) \(3\), \(6\), \(9\), …

\(a_n = 4n\)
\(a_n = 6n\)
\(a_n = 2n\)
\(a_n = 3n\)

(ii)

\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, ...

$a_{n} = n - \frac{1}{n}$
$a_{n} = \frac{n}{n + 1}$
$a_{n} = n + \frac{1}{n}$
$a_{n} = \frac{n + 1}{n}$

(iii) \(5\), \(-25\), \(125\), …

\(a_n = (-1)^{n + 1} 5^n\)
\(a_n = (-1)^{n} 5^n\)
\(a_n = (-1)^{n + 1} 5n\)
\(a_n = (-1)^{n} 5^{n + 1}\)

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