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choli [55]
3 years ago
6

B(n)=1 (-2)^n-1 What is the 4th term in the sequence

Mathematics
1 answer:
zzz [600]3 years ago
5 0

Answer:

The fourth term of the sequence B(4) =-8

The sequence is 1,-2,4,-8...

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the sequence

     B(n) = 1(-2)ⁿ⁻¹

Put n=1

    B(1) = 1(-2)¹⁻¹ = 2⁰ =1

Put n=2

   B(2) = 1(-2)²⁻¹ = (-2)¹ =-2

Put n=3

  B(3) =1(-2)³⁻¹ = (-2)² =4

Put n=4

B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8

The sequence

1,-2,4,-8...

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Step-by-step explanation:

Hi, an exponential function describes best the total number of rabbits in the colony over time, because the population tends to multiply by a specific rate over time.

An exponential function can be described as a growth function, for example in the form:

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Step-by-step explanation:

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2 years ago
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7 0
3 years ago
What is the value of x?<br> Enter your answer in the box.<br> x =
Svetllana [295]

Answer:

Step-by-step explanation:

The two triangles are similar and therefore we can set up a proportion

9/(9 + 72) = (3x - 20)/(3x - 20 + 56)       Combine like terms on the right

9/(81) = (3x - 20)/(3x + 36)                      Cross multiply

9(3x + 36) = 81 (3x - 20)                         Remove the brackets.

27x + 324 +1620 = 243x                        Add 1620 to both sides

27x + 324 + 1620 = 243x                       Subtract 27x from both

1944 = 216x                                            divide both sides by 216

x = 9                                  

If you feel comfortable canceling the size of the numbers can be reduced.

9/81 = 1/9

1/9 = (3x - 20)/(3x + 36)

3x + 36 = 9(3x - 20)

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216 = 24x

216/24 = x

x = 9

There is another cancelation possible, but this is simple enough.

6 0
3 years ago
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