Project ID:
7100000082
Accepted:
Typ:
Layout:
Question:
Spárujte každý výraz s jeho hodnotou.
Question 1:
$$\sum_{n=1}^{\infty}\left(\frac{1}{2}\right)^{n}$$
Answer 1:
$$1$$
Question 2:
$$\sum_{n=1}^{\infty}\left(\frac{1}{2}\right)^{n-1}$$
Answer 2:
$$2$$
Question 3:
$$\sum_{n=1}^{\infty}\left(-\frac{1}{2}\right)^{n}$$
Answer 3:
$$-\frac13$$
Question 4:
$$0{,}\overline{3}$$
Answer 4:
$$\frac13$$
Question 5:
$$\sum_{n=1}^{\infty}0^{n}$$
Answer 5:
$$0$$
Question 6:
$$\sum_{n=1}^{\infty}\frac{6}{10^n}$$
Answer 6:
$$\frac23$$
Question 7:
$$\sum_{n=1}^{\infty}0{,}1^n$$
Answer 7:
$$\frac19$$
Question 8:
$$\sum_{n=1}^{\infty}0{,}8^{n-1}$$
Answer 8:
$$5$$
Question 9:
$$\sum_{n=1}^{\infty}\left(-\frac{1}{3}\right)^{n}$$
Answer 9:
$$-\frac14$$