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rewona [7]
3 years ago
14

The second term of a geometric sequence is 6. The common ratio of the sequence is two-thirds. Write the first five terms of the

sequence and write a rule for the sequence.
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0
A2 = 6 = a1*(2/3)
a1 = 6/(2/3) = 9

The rule for the sequence is
.. an = 9*(2/3)^(n -1)

The first 5 terms are
.. 9, 6, 4, 8/3, 16/9
You might be interested in
Help help help help
Rainbow [258]

Answer:

17 - 2= 15

so if you do

15 ÷ 3 = 5

so x= 5

6 0
3 years ago
Read 2 more answers
Mr. I does a job in x hours while Mr. L can do it in y hours. How much of the job could they do together if they were to work fo
dimulka [17.4K]

Answer: Work done by both of them in k hours is

\frac{k(x+y)}{xy}

Explanation:

Since we have given that

Number of hours Mr. I does a job = x hours

Number of hours Mr. L does a job = y hours

Work done by Mr. I is given by

\frac{1}{x}

Work done by Mr. L is given by

\frac{1}{y}

Work done if they do together is given by

\frac{1}{x}+\frac{1}{y}\\\\=\frac{x+y}{xy}

Work done if they work together for k hours is given by

\frac{x+y}{xy}\times k\\\\=\frac{k(x+y)}{xy}

Hence, work done by both of them in k hours is

\frac{k(x+y)}{xy}

3 0
3 years ago
Find c.
Vinvika [58]
<h3>Answer:   0.5</h3>

========================================================

Explanation:

The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.

We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.

This leaves sin(B)/b

We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.

The angle opposite side c is 15 degrees, so C = 15.

The lowercase letters represent side lengths, while the uppercase letters are angles.

--------------------------

We have enough to apply the law of sines to solve for side c.

sin(B)/b = sin(C)/c

sin(105)/2 = sin(15)/c

c*sin(105) = 2*sin(15) ............. cross multiply

c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)

c = 0.53589838486224

c = 0.5

Side c is roughly 0.5 cm long.

Make sure your calculator is in degree mode.

6 0
3 years ago
Read 2 more answers
The ratio of blue cars to red cars in a garage is 9:7. If there are 49 red cars in the garage then how many blue cars must be in
m_a_m_a [10]

Answer:

Blue cars, B = 63 cars

Step-by-step explanation:

Let the blue cars be B.

Let the red cars be R.

Given the following data;

Ratio of B:R = 9:7 = 9 + 7 = 16

Red cars, R = 49

To find the number of blue cars;

First of all, we would determine the total number of cars using the expression;

R = 7/16 * x = 49

7x = 49 * 16

7x = 784

x = 112 cars

Now, we can find the number of blue cars;

B = 9/16 * 112

B = 1008/16

Blue cars, B = 63 cars

3 0
3 years ago
Complete the equation of the line whose y intercept is (0,6) and slope is 3
m_a_m_a [10]
Y = mx + b
m = slope
b= y intercept

so the equation is y= 3x + 6
6 0
4 years ago
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