Translate the following sentence into an algebraic equation: 3 times "r" less than

what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

6 0

3 years ago

Read 2 more answers

Which transformations will produce similar, but not congruent, figures?

liubo4ka [24]

The correct answer is <span>A. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ.
</span>
Congruent figures are of the same shape and the same size. <span>Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ will produce similar but not congruent figures because they have different sizes.</span>

6 0

3 years ago

I need help with geometry please!

Naddika [18.5K]

Answer:

The answer is 15

Step-by-step explanation:

You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.

3 0

2 years ago

Jackie’s report is 5 pages longer than half the number of pages in Kane’s report. There are 14 pages in Kane’s report.

olga_2 [115]

Answer:

12

Step-by-step explanation:

If Jackie's report is longer than half kane's report, then

Jackie report=1/2 kane's report +5

1/2(14) +5

7+5

=12

therefore, Jackie's report =12

pls mark brainliest

5 0

2 years ago

30,135x0.15 hgggggggggggggggggggggggggggggggggggggggggggggggggggggggggnnnn tyyyyyyyy

elena-s [515]

Answer:

what

Step-by-step explanation:

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7 0

3 years ago