Súčet nekonečného geometrického radu II | math4u.vsb.cz

Pridané používateľom vladimir.arzt dňa Št, 09/12/2024 - 09:53

Project ID:

7100000082

Accepted:

Podoblasť:

Nekonečné rady

Typ:

Layout:

Question:

Priraďte každý výraz k jeho hodnote.

Question 1:

\sum_{n = 1}^{\infty} {(\frac{1}{2})}^{n}

Answer 1:

1

Question 2:

\sum_{n = 1}^{\infty} {(\frac{1}{2})}^{n - 1}

Answer 2:

2

Question 3:

\sum_{n = 1}^{\infty} {(- \frac{1}{2})}^{n}

Answer 3:

- \frac{1}{3}

Question 4:

0, \overset{―}{3}

Answer 4:

\frac{1}{3}

Question 5:

\sum_{n = 1}^{\infty} 0^{n}

Answer 5:

0

Question 6:

\sum_{n = 1}^{\infty} \frac{6}{10^{n}}

Answer 6:

\frac{2}{3}

Question 7:

\sum_{n = 1}^{\infty} 0, 1^{n}

Answer 7:

\frac{1}{9}

Question 8:

\sum_{n = 1}^{\infty} 0, 8^{n - 1}

Answer 8:

5

Question 9:

\sum_{n = 1}^{\infty} {(- \frac{1}{3})}^{n}

Answer 9:

- \frac{1}{4}