Tehtävien vastaukset 564-575
564. a) ei kumpikaan
b) geometrinen
c) aritmeettinen
d) ei kumpikaan
565. a) [[$\left\{ \begin{array}{1}a_1=258\\a_n=3\cdot a_{n-1}, n=2,3,4,...\end{array}\right.$]]
b) [[$\left\{ \begin{array}{1}a_1=-178\\a_n=\frac{1}{2}\cdot a_{n-1}, n=2,3,4,...\end{array}\right.$]]
c) [[$\left\{ \begin{array}{1}a_1=\frac{5}{7}\\a_n=\frac{3}{2}\cdot a_{n-1}, n=2,3,4,...\end{array}\right.$]]
566. a) [[$a_1=1,5$]]
[[$a_2=4,5$]]
[[$a_3=13,5$]]
b) [[$a_1=20$]]
[[$a_2=14$]]
[[$a_3=9,8$]]
c) [[$a_1=170$]]
[[$a_2=-170$]]
[[$a_3=170$]]
d) [[$a_1=30 \ 000$]]
[[$a_2=15 \ 000$]]
[[$a_3=7 \ 500$]]
567. a) [[$-\frac{29}{125}$]]
b) [[$\frac{3125}{16}$]]
c) [[$\frac{32}{729}$]]
568. a) [[$-3s$]]
b) [[$\sqrt{7}$]]
c) [[$\frac{4}{s^2}$]]
569. [[$a_4=31\frac{1}{5}$]]
[[$a_n=3900\cdot(\frac{1}{5})^{n-1}$]]
570. [[$a_5=-\frac{512}{3}$]]
[[$a_n=-\frac{2}{3}\cdot 4^{n-1}$]]
571. a) [[$\frac{51}{256}$]]
b) [[$\pm\frac{3}{32}$]]
572. [[$a_9=276\frac{3}{4}$]]
573. [[$6144$]] kaniinia
574. [[$5105,74 \ €$]]
575. a) [[$22.$]] termi
b) [[$12.$]] termi
b) geometrinen
c) aritmeettinen
d) ei kumpikaan
565. a) [[$\left\{ \begin{array}{1}a_1=258\\a_n=3\cdot a_{n-1}, n=2,3,4,...\end{array}\right.$]]
b) [[$\left\{ \begin{array}{1}a_1=-178\\a_n=\frac{1}{2}\cdot a_{n-1}, n=2,3,4,...\end{array}\right.$]]
c) [[$\left\{ \begin{array}{1}a_1=\frac{5}{7}\\a_n=\frac{3}{2}\cdot a_{n-1}, n=2,3,4,...\end{array}\right.$]]
566. a) [[$a_1=1,5$]]
[[$a_2=4,5$]]
[[$a_3=13,5$]]
b) [[$a_1=20$]]
[[$a_2=14$]]
[[$a_3=9,8$]]
c) [[$a_1=170$]]
[[$a_2=-170$]]
[[$a_3=170$]]
d) [[$a_1=30 \ 000$]]
[[$a_2=15 \ 000$]]
[[$a_3=7 \ 500$]]
567. a) [[$-\frac{29}{125}$]]
b) [[$\frac{3125}{16}$]]
c) [[$\frac{32}{729}$]]
568. a) [[$-3s$]]
b) [[$\sqrt{7}$]]
c) [[$\frac{4}{s^2}$]]
569. [[$a_4=31\frac{1}{5}$]]
[[$a_n=3900\cdot(\frac{1}{5})^{n-1}$]]
570. [[$a_5=-\frac{512}{3}$]]
[[$a_n=-\frac{2}{3}\cdot 4^{n-1}$]]
571. a) [[$\frac{51}{256}$]]
b) [[$\pm\frac{3}{32}$]]
572. [[$a_9=276\frac{3}{4}$]]
573. [[$6144$]] kaniinia
574. [[$5105,74 \ €$]]
575. a) [[$22.$]] termi
b) [[$12.$]] termi