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3 years ago

Find the 6th term of the geometric sequence whose common ratio is 1/2 and whose first term is 6.

Mathematics

1 answer:

dimulka [17.4K]3 years ago

7 0

Answer:

3/16

Step-by-step explanation:

The nth term of a geometric series is:

an = a₁ (r)^(n - 1)

Given a₁ = 6, r = 1/2, and n = 6:

a₆ = 6 (1/2)^(6 - 1)

a₆ = 3/16

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How do you solve number 29?

djyliett [7]

Step-by-step explanation:

Now, I will explain using both area and perimeter.

$6.25 + 5 + 6.25 + 5$

$6.25 + 5 = 11.25$

Now we can infer that the other 6.25 +5 will have the same sum. Therefore we have to solve this:

$11.25 + 11.25$

Which is:

$11.25 + 11.25 = 22.50$

Now time to solve in the area formula.

$l \times w$

Length × Width.

First, we're starting by 6.25 × 5.

Which is 62.5.

Either, he had to pay 62.5$ (I doubt it) or he had to pay 22.50$.

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

I have solved using both formulas, hope this helps, bye!

3 0

3 years ago

Use the commutative law of addition to find an expression equivalent to 7(c+3)

Vlada [557]

Answer:

7c+21

Step-by-step explanation:

multiply 7 by c and 7 times 3

7c and 21

7c+21

5 0

4 years ago

Suppose r varies directly with the square of m and inversely as s. If r= 12 when m = 6 and s=4, find r when m = 4 and s 10

zalisa [80]

Answer:

$r=\frac{32}{15}$

Step-by-step explanation:

If r varies directly with the square of m and inversely as s,

then $r=\frac{km^2}{s}$ where k is some constant

Given r = 12 when m = 6 and s = 4:

$r=\frac{km^2}{s}$

⇒ $12=\frac{k6^2}{4}$

⇒ $\frac{12\times4}{6^2} =k$

⇒ k = $\frac{4}{3}$

Therefore, substituting the found value of k into the original equation: $r=\frac{4m^2}{3s}$

Find r when m = 4 and s = 10:

$r=\frac{4m^2}{3s}$

⇒ $r=\frac{4\times4^2}{3\times10}$

⇒ $r=\frac{32}{15}$

6 0

3 years ago

Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.

leva [86]

Let x= number of board games
20x=10410+2.65x 
-2.65 -2.65 
17.35x=10410 
/17.35 /17.35 
x=600 
You would need to sell at least 600 board games to break even

3 0

3 years ago

Solve for x. -2(16 - 4x) - 8 = 6(x + 2)

Amanda [17]

So...

-2(16-4x)-8=6(x+2)            Multiply
-32+8x-8=6x+12                 Add like terms
-40+8x=6x+12                    Subtract 6x from both sides
-40+2x=12                          Add 40 to both sides
2x=52                                 Divide 2 from both sides
x=26                                   Substitute to check
-2(16-4(26))-8=6((26)+2)   Add and multiply in parenthesis
-2(-88)-8=6(28)                  Multiply
176-8=168                         Subtract
168=168

So x=26

I hope this helps! Have a great day!

6 0

4 years ago