Sum of Infinite Geometric Series I

Submitted by ladislav.foltyn on Sat, 02/23/2019 - 13:30

Project ID:

6000000027

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Question:

Given infinite geometric series and numbers, match each series with its correct sum.

Questions Title:

Infinite geometric series:

Answers Title:

Sums:

Question 1:

\sum_{n = 1}^{\infty} {(\frac{1}{3})}^{n - 2}

Answer 1:

$\frac{9}{2}$

Question 2:

\sum_{n = 1}^{\infty} 3^{4 - n}

Answer 2:

$\frac{81}{2}$

Question 3:

\sum_{n = 1}^{\infty} {(- \frac{2}{3})}^{n}

Answer 3:

$- \frac{2}{5}$

Question 4:

\sum_{n = 1}^{\infty} 3^{3 - n}

Answer 4:

$\frac{27}{2}$

Question 5:

\sum_{n = 1}^{\infty} {(\frac{3}{2})}^{- n}

Answer 5:

$2$

Question 6:

\sum_{n = 1}^{\infty} {(\frac{2}{3})}^{2 n}

Answer 6:

$\frac{4}{5}$

Tex:

% tiket 32602 \NastavOT{3} \NastavOD{3}

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