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3 years ago

Find an explicit formula for the geometric sequence 96,24,6,1.5,...

Mathematics

2 answers:

photoshop1234 [79]3 years ago

8 0

Answer: 96 / 4 ^n-1

Step-by-step explanation:

This is a geometric sequence with a first term of 96. The common ratio is the division of the 2nd term by the first term. This will be:

24/96 = 1/4

a = 96

r = 1/4

The formula will be:

ar ^n-1

= 96 × (1/4)^n-1

The concluding part is explained in the attached file.

nikdorinn [45]3 years ago

3 0

Answer:

96(1/4)^n-1

Step-by-step explanation:

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6 1/2 minus 5 3/4 in math

Nata [24]

Answer:

0.75, or 3/4

Step-by-step explanation:

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2 years ago

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Divide the polynomial x^3+x^2-2x+3 by (x-1)

Anni [7]

Answer:

x² + 2x + (3 / (x − 1))

Step-by-step explanation:

Start by setting up the division:

.........____________

x − 1 | x³ + x² − 2x + 3

Start with the first term, x³. Divided by x, that's x². So:

.........____x²______

x − 1 | x³ + x² − 2x + 3

Multiply x − 1 by x², subtract the result, and drop down the next term:

.........____x²______

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.........-(x³ − x²)

...........----------

...................2x² − 2x

Repeat the process over again. First term is 2x². Divided by x is 2x. So:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Multiply, subtract the result, and drop down the next term:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

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.................-(2x² − 2x)

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x doesn't divide into 3, so that's the remainder.

Therefore, the answer is:

x² + 2x + (3 / (x − 1))

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2 years ago

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o-na [289]

Answer:

Proportionality Constant = k = $\frac{1}{9}$

Step-by-step explanation:

Equation is:

$y = \frac{x}{9}$

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3 years ago

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50a3 + 10a2

Lady_Fox [76]

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2 years ago

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Joe Summers buys a gas grill and accessories. The cost, including tax, amounts to $850.00. Joe finances the grill over 12 months

Anettt [7]

Answer:

$66.5

Step-by-step explanation:

The cost, including tax, amounts to $850.00.

Down payment =$150

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Interest rate = 14 %

So, interest on $700 = $\frac{14}{100} \times 700 =98$

So, c = $98

Total payment = amount financed + c = 700+98=$798

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Hence Joe's monthly payments (principal plus interest) is $ 66.5

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2 years ago