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Alex
3 years ago
10

What is the 7th term of the geometric sequence where a1 = 625 and a2 = −125?

Mathematics
2 answers:
Aleksandr [31]3 years ago
6 0

Answer:

The nth term of the geometric sequence is given by;

a_n = a_1r^{n-1}, .....[1] n is the number of terms.

where,

a_1 is the first term and r is the common ratio of the terms.

As per the statement:

Given:

a_1= 625 and a_2 = -125

Using [1];

a_2 = a_1 \cdot r

Substitute the value of a_1 we have;

-125 = 625 \cdot r

Divide both sides by 625 we have;

-\frac{1}{5} = r

or

r= -\frac{1}{5}

We have to find 7th term of the geometric sequence.

For n = 7 we have;

a_7 = a_1 \cdot r^6

Substitute the given values we have;

a_7 = 625 \cdot (-\frac{1}{5})^6 = \frac{625}{15625} = \frac{1}{25} =0.04

therefore, the 7th term of the geometric sequence is, 0.04

myrzilka [38]3 years ago
4 0
Common ratio, r = (-125)/625 = -0.2
First term, a = 625

7 term
= ar^6
= 625(-0.2)^6
= -0.04
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So Charlie weighs 54 kg and his brother weighs 45 kg.
4 0
3 years ago
A randomized study compared the effectiveness of two mosquito repellents. The treatment group using Spray A reported a mean of 3
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Answer:

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

Step-by-step explanation:

Given that:

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The treatment group using Spray B reported a mean of 5.6 mosquito bites.

After the data are  re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;

The best conclusion that can be make based on the data from the dot plot is :

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

5 0
3 years ago
What is eight increased by five? a. 12 b. 13 c. 14 d. 15
Ainat [17]
The answer is B.13.
kjjjjj
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3 years ago
Please help, I don’t understand it so explain don’t just put the answer if u can lols
ludmilkaskok [199]

Answer

27 days

Step-by-step explanation:

father= 45 days

oldest son + father=27 days

youngest + father= 36 days

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7 0
3 years ago
Read 2 more answers
Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is
Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

5 + 7 = 12 total fruits, which means that N = 12

7 apples, which means that k = 7

You receive 2 fruits, which means that n = 2

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0
3 years ago
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