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3 years ago

Write the first five terms of the sequence. a_(n) = -1(1)/(3)^(n-1)

Mathematics

1 answer:

Annette [7]3 years ago

4 0

That's a little messy :)

If that is: -1/[3^(n-1)]

-1, -1/3, -1/9, -1/27, -1/81

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Deffense [45]

Answer:

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Step-by-step explanation:

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3 years ago

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Suppose we want to choose 5 objects, without replacement, from 13 distinct objects. (a) How many ways can this be done, if the o

Arisa [49]

Answer:

A. 1, 287 ways

B. 154,440 ways

Step-by-step explanation:

A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this is by using the combination formula since order is not considered;

Thus we have ; 13 C 5 read as 13 combination 5;

Mathematically, n C r is ; n!/(n-r)!r!

Thus, we have ;

13!/(13-8)!8! = 13!/5!8! = 1,287 ways

B. By considering order, we shall be using the permutation formula;

Mathematically n P r = n!/(n-r)!

Read as n permutation r;

Using the numbers involved, we have ; 13 P 5

= 13!/(13-5)! = 13!/8! = 154,440 ways

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3 years ago

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omeli [17]

Answer:

y=3x-2

Step-by-step explanation:

The formula for slope is y=mx=b

You can find the slope by finding two points that lie on the line (1,1) & (0,-2)

The formula for slope is $m=\frac{y_{2} -y_{1}}{ x_{2} -x_{1} }$

You plug the values in and you get $m=\frac{1-(-2)}{ 1 -0 }$

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4 0

2 years ago

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Which triangles in the diagram are congruent?

GenaCL600 [577]

Answer: triangle 1, triangle 2, and triangle 3

Step-by-step explanation:

Triangles 1 and 3 are congruent by SAS. So, by CPCTC, all three sides are congruent, making triangle 2 congruent to them as well by SSS.

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2 years ago

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saw5 [17]

Answer: C. None of the above

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3 years ago