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blondinia [14]
3 years ago
9

Can you help me solve an infinite geometric sequence

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

A geometric series like

\displaystyle \sum_{n=1}^\infty \dfrac{1}{\alpha^n}

Converges if and only if |\alpha|>1. If this is the case, the sum equals

\displaystyle \sum_{n=1}^\infty \dfrac{1}{\alpha^n} = \dfrac{1}{\alpha-1}

So, in your case, you have convergence if and only if

|2+a|>1 \iff 2+a>1 \lor 2+a-1 \lor a

And if this is the case, the sum equals

\displaystyle \sum_{n=1}^\infty \dfrac{1}{(2+a)^n} = \dfrac{1}{2+a-1} = \dfrac{1}{a+1}

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what are two practical products you could add to find 990 x 37 ; 297 693 2970 6930 69300 6330 29700
VMariaS [17]
First evaluate 990 x 37.
990 x 37 = 36630

Test the given numbers to find the pair that adds up to 36630.
Test 297.
The missing pair will be
36630 - 297 = 36333
Will not work

Test 693.
36630 - 693 = 35937
Will not work

Test 2970.
36630 - 2970 = 33660
Will not work

Test 6930
36630 - 6930 = 29700
This works, because 6930 + 29700 = 36630.

Answer: 6930 and 29700.


8 0
3 years ago
If f(x)=x sqrt -25 and g(x)=x-5, what is the domain of (f/g)(x)?
givi [52]

Answer:

<h2>R-{5}</h2>

Step-by-step explanation:

f(x)=x²-25=(x-5)(x+5)

g(x)=x-5

(f/g)(x)=<em>(x-5)</em>(x+5)/<em>(x-5)</em>=x+5;   for x≠5

D=R-{5}

4 0
3 years ago
Read 2 more answers
A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of
Ierofanga [76]

Answer:

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.                                            

Step-by-step explanation:

Simple random sampling:

  • It is a type of probabilistic sampling.
  • It is an unbiased representation of population.
  • The probability of selection is equal for every observation.
  • A sample is taken in such a way that each member has an equal probability of being selected.
  • A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
  • Thus,the correct interpretation is given by,

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.

  • c) The simplest method of selection is used to create a representative sample.

The statement is false.

There is no pattern or technique used for selection. The selection is purely random.

  • d) Each subset of the population has an equal chance of being included in the sample.

The statement is false.

Each object of the population has an equal chance of being included in the sample. and not each subset.

  • e) Every sample of size n from the population has a proportionally weighted chance of being selected.

The given statement is false.

8 0
3 years ago
If u have 25% how many squares would you shade if there were 6 in total?
egoroff_w [7]

Answer:

1.5 squares

Step-by-step explanation:

4 0
3 years ago
You are dealt one card from a 52-card deck. Find the probability that you are not dealt a non-picture card.
andreyandreev [35.5K]

Picture cards are Jacks, queens and Kings. There are 4 of each for a total of 12 picture cards.

52-12 = 40 non picture cards.

Probability of being dealt a non picture card would be 40/52

The probability of not being dealt a non picture card would be 1 - 40/52 = 12/52 = 3/13

Answer: 3/13

5 0
3 years ago
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