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jekas [21]
3 years ago
15

Consider the sequence: 1536,768, 384, 192,96, --- Determine the 11th term of the sequence.

Mathematics
2 answers:
Anton [14]3 years ago
8 0

Answer:

Step-by-step explanation:

Let ‘a’ is the first term and ‘r’ is a common ratio

By using formula of G.P

Tn = a.r^n-1

=(1536)(1/2)^11-1

= 2^9 x 3 x 2^ -10

= 3 x 2^9-10

= 3 x 2^-1

= 3/2

11th is 3/2

Naya [18.7K]3 years ago
7 0

Answer:

1.5

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

768 ÷ 1536 = 0.5

384 ÷ 768 = 0.5

192 ÷ 384 = 0.5

96 ÷ 192 = 0.5

This indicates that the terms form a geometric sequence with

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = 1536 and r = 0.5, thus

a_{11} = 1536 × (0.5)^{10} = 1.5

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Stephanie saw in an ad in the paper that her favorite kind of perfume was I feel for 25% off if the sale price was $15 what was
sashaice [31]

Answer: $20

Step-by-step explanation:

Here os the correct question:

Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume?

Let the original price of the perfume be y.

Since we are told that 25% is off, that means that 25% has been deducted from the original price. This can be written as:

y - (25% of y) = $15

y - (25/100 × y) = $15

y - 0.25y = $15

0.75y = $15

Divide both side by 0.75

0.75y/0.75 = $15/0.75

y = $20

The original price of the perfume is $20

7 0
2 years ago
Solve the system of equations.<br> - 5x – 3y - 9 = 0<br> 4x – 187 - 54 = 0
liberstina [14]

Answer:

Step-by-step explanation:

Solve simultaneously

-5x-3y=9

4x-187-54=0

4x=241

x=60.25

To get y

Substitute for x in equal one

-5(60.25)-3y=9

-301.25-3y=9

-3y=9+301.25

-3y=310.25

y=-103.4

8 0
2 years ago
Factor by using GCF:<br> 8n3 + 2n2
tensa zangetsu [6.8K]

Answer: 2n^2. let me know if you need the explanation :).

Step-by-step explanation:

7 0
2 years ago
John completes a long distance run at an average speed of 8.5 miles per hour. if it takes him 6 hours, how far did he run?
anygoal [31]
Fifty One miles is correct
4 0
2 years ago
Which expression is equivalent to 8 -(6r+2)
scoundrel [369]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>6(1-r)</em>

▹ Step-by-Step Explanation

8 - (6r + 2)

8 - 2(3r + 1)

2(4 - (3r + 1))

2(4 - 3r - 1)

2(3 - 3r)

2 * 3(1 - r)

6(1 - r)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

3 0
3 years ago
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