1

a

$18$ ; $150$

b

$66$ ; $60$

c

$18$ ; $60$

2

$23$ ; $65$
$‐ 24$ ; $‐ 80$
$‐ 9$ ; $‐ 37$
$64$ ; $1048576$

3

$a_{6} = 18$ en $a_{20} = 60$

4

a

$3$ , $5$ , $7$ cm

b

$l_{17} = 35$ en $l_{143} = 287$ cm.

5

a

$a_{2} = 2$

b

$a_{3} = 4$

c

$a_{4} = 8$ , $a_{5} = 16$

d

$a_{6} = 31$

6

a

$a_{5} = 16$ , $a_{6} = 32$ , $a_{7} = 64$

b

$2^{63}$

7

a

Rente over $1000$ euro is $100$ euro. De $1000$ van het nulde jaar is dus aangegroeid tot $1100$ euro. Verder wordt er nog $1000$ bijgestort, dus in totaal $1000 + 1100 = 2100$ euro.

b

$3310$

c

$b_{3} = 4641$ , $b_{4} = 6105,10$ , $b_{5} = 7715,61$ , $b_{6} = 9487,17$

d

$b_{2} = b_{1} \cdot 1,1 + 1000$

e

$b_{6} = b_{5} \cdot 1,1 + 1000$

f

$b_{20} = b_{19} \cdot 1,1 + 1000$

8

$a_{0} = 0$ ,
$a_{1} = a_{0} + 3$ ,
$a_{2} = a_{1} + 3$ ,
$a_{3} = a_{2} + 3$ ,
$a_{4} = a_{3} + 3$ ,
$a_{5} = a_{4} + 3$ ,
enzovoort

9

$d_{0} = 0$ ,	$e_{0} = 3$ ,	$f_{0} = 1$ ,
$d_{1} = d_{0} - 4$ ,	$e_{1} = e_{0} - 2$ ,	$f_{1} = f_{0} \cdot 2$ ,
$d_{2} = d_{1} - 4$ ,	$e_{2} = e_{1} - 2$ ,	$f_{2} = f_{1} \cdot 2$ ,
$d_{3} = d_{2} - 4$ ,	$e_{3} = e_{2} - 2$ ,	$f_{3} = f_{2} \cdot 2$ ,
enzovoort	enzovoort	enzovoort

10

a

$b_{1} = b_{0} \cdot 1,1 + 1000$

b

$b_{20} = b_{19} \cdot 1,1 + 1000$

11

a

${\begin{cases} c_{0} = 5 \\ c_{n} = c_{n - 1} + 3 (n = 1, 2, 3,...) \end{cases}$
${\begin{cases} d_{0} = 0 \\ d_{n} = d_{n - 1} - 4 (n = 1, 2, 3,...) \end{cases}$
${\begin{cases} e_{0} = 3 \\ e_{n} = e_{n - 1} - 2 (n = 1, 2, 3,...) \end{cases}$
${\begin{cases} f_{0} = 1 \\ f_{n} = 2 f_{n - 1} (n = 1, 2, 3,...) \end{cases}$

b

${\begin{cases} l_{0} = 1 \\ l_{n} = l_{n - 1} + 2 (n = 1, 2, 3,...) \end{cases}$
${\begin{cases} a_{1} = 1 \\ a_{n} = 2 a_{n - 1} (n = 2, 3, 4,...) \end{cases}$

12

a

$a_{1} = 5$ , $a_{2} = 13$ en $a_{3} = 29$

b

${\begin{cases} a_{0} = 1 \\ a_{n} = 2 a_{n - 1} + 3 (n = 1, 2, 3,...) \end{cases}$

13

$36$ , $49$ , $64$ , $81$ , $100$ .

14

$d_{n} = ‐ 4 n$ , $e_{n} = 3 - 2 n$ , $f_{n} = 2^{n}$ .