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Ne4ueva [31]
2 years ago
7

Find the 10th term of the geometric sequence 1, 3, 9, ...

Mathematics
1 answer:
ladessa [460]2 years ago
3 0

Answer:

a(10) = 3^9 = 19683

Step-by-step explanation:

In this sequence each new term is equal to 3 times the previous term.  Thus, 3 is the common ratio.  The first term is 1.

The general formula for the nth term of a geometric sequence i

a(n) = a(1)*r^(n -1), where r is the common ratio.

Here, a(n) = 1*3^(n - 1), and so

the 10th term is

           a(10) = 1*3^(10 - 1), or

            a(10) = 3^9 = 19683

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artcher [175]
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3 years ago
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aleksley [76]

Answer:

the mean is 9.

Step-by-step explanation:

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5 0
2 years ago
Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C.
mr Goodwill [35]

Answer:

B. (-2,-4)

Explanation

Given equations:

   y = 3x + 2

   y = -2x - 8

Solving both equations will yield the values of x and y;

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   y = 3x + 2    ----- (i)

   y = -2x - 8   ------ (ii)

Using substitution method, input equation i, into ii

    3x + 2 = -2x - 8

Collect like terms and solve;

     3x + 2x = -8 -2

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Then put x = -2 into i, to find y

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So, the solution of the equation is B. (-2,-4)

6 0
3 years ago
Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation to d
Norma-Jean [14]

Answer:

Sara should sell each bracelet at <em>$8.50</em> to make a profit of $99.

Step-by-step explanation:

We are given the following:

Total cost = $28.50

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Total profit to be made = $99

Let x be the price at which Sara sells each bracelet to make a profit of $99.

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Also,

\text{Total sales price = Total Cost}+ \text{Total Profit} \\

\Rightarrow \$28.50 + \$99 ....... (2)

Equating (1) and (2):

\Rightarrow  28.50 + 99 = 15x\\\Rightarrow x = \dfrac{127.5}{15}\\\Rightarrow x = $8.50

Sara should <em>sell each bracelet at $8.50</em> to make a profit of $99.

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3 years ago
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10. Do these figures have the same or the opposite orientation?
Jet001 [13]

Answer:

Opposite

Step-by-step explanation:

3 0
2 years ago
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