n Toekomstige waarde a - AdMaths
n Toekomstige waarde a - AdMaths
n Toekomstige waarde a - AdMaths
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2 / 17<br />
In die graad 10 handboek op bls 90 is die volgende ondersoek<br />
gedoen.<br />
Voltooi<br />
(1 x) (...) 1 x<br />
(1 x) (1 x x ) ...<br />
2<br />
2<br />
2<br />
2 3<br />
(1 x) (1 x x x ) ...<br />
(1 x) (...........................) 1 x<br />
(1 x) (.............................) 1 x<br />
en 1 x x<br />
Antwoord<br />
7<br />
n<br />
2 3 n 1<br />
1 x x x ... x<br />
(1 x) ( 1 x ) 1 x<br />
2<br />
3 n 1 n<br />
x ... x x ...<br />
2<br />
11 MOD 3<br />
1 x<br />
...<br />
2 2 2 3 3<br />
(1 x) (1 x x ) 1 x x x x x 1 x<br />
2 3 4<br />
(1 x) (1 x x x ) 1 x<br />
2 3 4 5 6 7<br />
(1 x) ( 1 x x x x x x ) 1 x<br />
2 n 1 n<br />
(1 x) ( 1 x x ................ x ) 1 x<br />
1 x x ... x<br />
Afleiding:<br />
S<br />
1<br />
n<br />
x<br />
n 1 x<br />
n<br />
n 1<br />
1 xn<br />
1 x<br />
Verskil met 1<br />
waar S Som van n terme<br />
n
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