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kiruha [24]
3 years ago
14

What is the nth term of the geometric sequence 4, 8, 16, 32, ... ?

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0
Geometric is
a_n=a_1r^{n-1}
an=nth term
a1=first term
r=common ratio
n=which term

commmon ratio is like
a1 times r=a2
4 to 8
4 times 2=8
r=2
first term is 4
therefor

a_n=4(2)^{n-1}
the nth term is 4(2)^{n-1}




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Answer:

x = 6/11

Step-by-step explanation:

−23(3x−4)+3x=56

Distribute

-69x + 92 +3x = 56

Combine like terms

-66x+92 = 56

Subtract 92 from each side

-66x+92-92 = 56-92

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Divide each side by -66

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7 0
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A small telescope magnifies
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The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

  • small telescope = 150 times
  • large telescope = 3300

<h3>Division of Numbers</h3>

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

x = \frac{3300}{150}=22

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

brainly.com/question/7068223

4 0
2 years ago
Multiply 1/3 1/5<br><br>-1/10<br><br>-1/15<br><br>1/15<br><br>1/10​
defon

Answer:

1/337500

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Step-by-step explanation:

8 0
3 years ago
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irina [24]
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3 years ago
Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number
Agata [3.3K]

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

∴ 2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

∴ x = 27

The number is 27

6 0
3 years ago
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