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iris [78.8K]
3 years ago
14

What is the value of the geometric sequence for which a1=10 and r=0.5?

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
The formula for an infinite geometric sequence is the following:

S_{∞}= \frac{a_{1}}{1-r}

Just substitute the values of a_{1} and r into the formula.

S_{∞}=\frac{10}{1-0.5}
S_{∞}=\frac{10}{0.5}
S_{∞}= 20

Therefore, the answer is 20.
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Here is the answer...

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Someone please help with this maths problem.
NemiM [27]
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3 years ago
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Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
Elanso [62]

Answer:

<em>Choose the first alternative</em>

\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions (N_s) and the total number of possible choices (N_t), i.e.

\displaystyle P=\frac{N_s}{N_t}

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}

The total number of possible choices is

_{2}^{20}\textrm{C} \text{ ways to do it}

The probability is then

\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}

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3 years ago
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The difference between 45 and y is 9
faltersainse [42]

Answer:

y = 36

Step-by-step explanation:

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