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bixtya [17]
3 years ago
6

PLEASE HELP ME WITH MATH Write an explicit formula for the following sequence. Then generate the first five terms.

Mathematics
1 answer:
Andru [333]3 years ago
5 0

Answer:

  \text{B.  }a_n=625(0.2)^{n-1}\quad\text{for $n>1$}\\625,125,25,5,1

Step-by-step explanation:

The explicit formula for a geometric sequence with first term a1 and common ratio r is ...

  a_n=a_1\cdot r^{n-1}

In this problem, you are given a1=625 and r=0.2. Filling in those values gives the explicit formula ...

  a_n=625(0.2)^{n-1}

You can either evaluate this function for values of n = 1 through 5, or you can multiply each term by the common ratio to get the next.

  a1 = 625

  a2 = 625·0.2 = 125

  a3 = 125·0.2 = 25

  a4 = 25·0.2 = 5

  a5 = 5·0.2 = 1

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They are different because in the mantle, the magma is heated, it becomes less dense and rises. It give off it's thermal energy and cools down, becoming more dense and descend to be heated again.

In the ocean, the tropics warm the water and it travels to the poles to cool down, then returns to the tropics to heat up again.

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3 years ago
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Round 721295.198715 to the nearest ten.
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7212960

Step-by-step explanation:

You have to round up since the number in the ones place is a 5.

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2 years ago
The sum of seven angles of an octagon is 132 degrees each. Find the measure of the eighth angle.
Sauron [17]

the sum of the angles in an ngon (a polygon with n sides) is (n-2)*180

so an octagon has 8 sides and has a sum total of (8-2)*180=1080 degrees

if each of 7 angles is 132, then 1080=?+7*132

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3 years ago
Each weekday Davina rides her bike from her house to school. After school, she rides to the library. Then Davina takes the same
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Step-by-step explanation:

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Lin solved the equation
Alekssandra [29.7K]

Answer: x=1/2

she was wrong, it's supposed to be

Step-by-step explanation: 8(x−3)+7=2x(4−17)

Step 1: Simplify both sides of the equation.

8(x−3)+7=2x(4−17)

(8)(x)+(8)(−3)+7=2x(4−17)(Distribute)

8x+−24+7=−26x

(8x)+(−24+7)=−26x(Combine Like Terms)

8x+−17=−26x

8x−17=−26x

Step 2: Add 26x to both sides.

8x−17+26x=−26x+26x

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Step 3: Add 17 to both sides.

34x−17+17=0+17

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Step 4: Divide both sides by 34.

34x/34=17/34 x=1/2

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2 years ago
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