What’s the difference between an ark and a radius on a circle?

Mathematics

1 answer:

Ainat [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The arc of a circle is a portion of the circumference of a circle and the radius is a straight line from the center of a circle to the circumference of a circle.

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The infinite geometric series S=1+( 2/3 )+( 2/3 )^ 2 +( 2/3 )^ 3 .... equal to:

weqwewe [10]

SOLUTION

The question simply means that we should find the sum to infinity of the geometric series.

The formula of sum to infinity of a geometric serie is given by

$S_{\infty}=\frac{a}{1-r}$

Where

$\begin{gathered} S_{\infty}\text{ is the sum to infinity} \\ \\ a\text{ is the first term = 1} \\ \\ r\text{ is the common ratio = }\frac{2}{3} \end{gathered}$

So, this becomes

$\begin{gathered} S_{\infty}=\frac{a}{1-r} \\ \\ S_{\infty}=\frac{1}{1-\frac{2}{3}} \\ \\ S_{\infty}=\frac{1}{\frac{3-2}{3}} \\ \\ S_{\infty}=\frac{1}{\frac{1}{3}} \\ \\ S_{\infty}=3 \end{gathered}$

Therefore, option b is the correct answer

5 0

1 year ago

Activity 3

skad [1K]

Answer:

19 Lollipops per friend

Step-by-step explanation:

$60-3=57\\\\57/3=19$