3 years ago

What are tree diagrams? How can we use them in real life?

Mathematics

2 answers:

Phoenix [80]3 years ago

3 0

Answer:

You can use tree diagrams to find the probability of something

Minchanka [31]3 years ago

3 0

Answer:

A tree diagram is simply a way of representing a sequence of events. Tree diagrams are particularly useful in probability since they record all possible outcomes in a clear and uncomplicated manner.

Step-by-step explanation:

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THE SUM 10 INFINITY OF A GEOMETRIC SERIES IS 100. FIND THE TERM IF THE COMMON FIRST RATIO IS - 1/2

zhuklara [117]

Answer:

a = 150

Step-by-step explanation:

<u>Sum to infinity of a geometric series</u>

$S_{\infty}=\dfrac{a}{1-r}\:\textsf{ for }|r| < 1$

where:

a is the first term
r is the common ratio

Given:

$S_{\infty}=100$

$r=-\dfrac{1}{2}$

Substitute the given values into the formula and solve for a:

$\begin{aligned}S_{\infty} & =\dfrac{a}{1-r}\\\\\implies 100 & =\dfrac{a}{1-\left(-\frac{1}{2}\right)}\\\\ 100 & =\dfrac{a}{1+\frac{1}{2}}\\\\100 & = \dfrac{a}{\frac{3}{2}}\\\\a & = \dfrac{3}{2} \cdot 100\\\\a & = 150\end{aligned}$