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VMariaS [17]
2 years ago
15

Find the oth term of the geometric sequence 7, 14, 28, ...

Mathematics
1 answer:
yaroslaw [1]2 years ago
6 0

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

\frac{14}{7}=2,\:\quad \frac{28}{14}=2

The ratio of all the adjacent terms is the same and equal to

r=2

now substituting r = 2 and a₁ = 7 in the nth term

a_n=a_1\cdot r^{n-1}

a_n=7\cdot \:2^{n-1}

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

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Read the problem and examine the diagram.
yulyashka [42]

Answer:

Option A: The answer should be 10% of 6 is the correct answer.

Step-by-step explanation:

Given that:

6 students play trumpet. As they represent 10% of the total students.

Let,

x represent the number of students in the band.

10% of x = 6

By solving this, we will get the value for number of students in the band.

As x will be our answer,

The choices B, C and D are correct in the given scenario.

However,

10% of 6 cannot be the solution to the problem.

Hence,

Option A: The answer should be 10% of 6 is the correct answer.

6 0
2 years ago
2(6k+8)-6k=4<br> What is the answer
lina2011 [118]

Answer:

k=-2

Step-by-step explanation:

2(6k+8)-6k=4

12k+16-6k=4

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7 0
3 years ago
Identify the double displacement reaction.
Anit [1.1K]
A double replacement reaction occurs when the ionic parts of two ionic compounds are exchanged. 

Reaction 1 results in a product which is a single compound. No ionic parts are exchanged. 

Reaction 3 results in one compound being separated into its elemental parts. No ionic parts are exchanged. 

Reaction 4 has two reactants, but Pb is an element and not an ionic compound. No ionic parts are exchanged. 

Hence, the answer is Reaction 2. Both NaBr and Ca(OH)2 are ionic compounds. Br - is the anion in NaBr, and (OH)2 is also an anion. Ionic parts are exchanged. 
3 0
3 years ago
Two angles are complementary three times the measure of one of the angles is 10° more than the measure of the other angle. find
Mumz [18]

Answer:

The difference is 40,

Step-by-step explanation:

Complementary angles , x+y =90

so we know angle 1, we call it  3x and angle 2 we call it y= 3x+10

so 3x +10= 90-x

4x=100

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8 0
3 years ago
Read 2 more answers
Find the perimeter or cm
kicyunya [14]

Answer:

The perimeter is 22.

Step-by-step explanation:

The perimeter formula (it sometimes varies) is 2(b+h)

b being base (in this example, 6)

h being height (in this example, 5)

So now, with substitution, we are left with:

2(6+5)

Which simplifies down to:

2(11)

22

8 0
3 years ago
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