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strojnjashka [21]
2 years ago
5

A thief steals a number of rare plants from a nursery. On the way​ out, the thief meets three security​ guards, one after anothe

r. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​ Finally, the thief leaves the nursery with 10 plants. How many plants were originally​ stolen?
Mathematics
1 answer:
DedPeter [7]2 years ago
7 0

The thief originally stole 64 plants.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the number of plants originally stolen by the thief be x.
On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​

Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x - 7x/8 + 2 = 10
x/8 = 8
x = 64

Thus, the thief stole 64 plants.

Learn more about arithmetic here:

brainly.com/question/14753192

<h3>#SPJ1</h3>


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Generate the nest three terms of each arithmetic sequence shown below.
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Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

a_{n}=a_{1}+(n-1)d

Now

a_{2}=a_{1}+(2-1)d

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Substituting the given value we get

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

Similarly

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Substituting the given value we get

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

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Substituting the given value we get

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

<u>B</u><u>  a_n=a_{(n-1)}-8  with a_1=10</u>

a_2=a_{(2-1)}-8

a_2=a_{1}-8

Substituting the given value

a_2= 10-8

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

a_3=a_{(3-1)}-8

a_3=a_{2}-8

Substituting the  value

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a_3= -6

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

a_4=a_{(4-1)}-8

a_4=a_{3}-8

Substituting the  value

a_4= -6-8

a_4= -14

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

<u>C) a_1=3, a_2=1</u>

Here the difference is -2

the arithmetic sequence formula is

a_{n}=a_{1}+(n-1)d

Now

a_{3}=a_{1}+(3-1)d

a_{3}=a_{1}+(2)d

Substituting the value we get

a_{3}= 3+(2)-2

a_{3}= 3-4

a_{3}= -1

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

a_{4}=a_{1}+(4-1)d

a_{4}=a_{1}+(3)d

Substituting the value we get

a_{4}= 3+(3)-2

a_{4}= 3-6

a_{4}= -3

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

a_{5}=a_{1}+(5-1)d

a_{5}=a_{1}+(4)d

Substituting the value we get

a_{5}= 3+(4)-2

a_{5}= 3-8

a_{5}= -5

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