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Subjects
Mathematics State Board
Class 10
Numbers and Sequences
Sequences

2. Two marks example problems I

Exercise condition:

12 m.

1. Find the next three terms of the sequences.

(i)

\frac{1}{2}, \frac{1}{6}, \frac{1}{10}, \frac{1}{14},...

$\frac{1}{18}, \frac{1}{20}, \frac{1}{24}$
$\frac{1}{16}, \frac{1}{20}, \frac{1}{24}$
$\frac{1}{17}, \frac{1}{21}, \frac{1}{26}$
$\frac{1}{18}, \frac{1}{22}, \frac{1}{26}$

(ii) $5$, $2$, $-1$, $-4$, …

$-8$, $-12$, $-14$
$-7$, $-10$, $-13$
$-8$, $-11$, $-13$
$-5$, $-8$, $-12$

(iii) $1$, $0.1$, $0.01$, …

$0.01$, $0.001$, $0.0001$
$0.0001$, $0.00001$, $0.000001$
$0.001$, $0.0001$, $0.00001$
$0.001$, $0.00001$, $0.000001$

2. Find the general term for the following sequences.

(i) $3$, $6$, $9$, …

$a_n = 3n$
$a_n = 4n$
$a_n = 6n$
$a_n = 2n$

(ii)

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

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

(iii) $5$, $-25$, $125$, …

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

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