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Геометрическая прогрессия PowerPoint PPT Presentation


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Геометрическая прогрессия. Закончился 20 век. Куда стремится человек? Изучены и космос и моря, Строенье звезд и вся Земля. Но математиков зовет Известный лозунг: « Прогрессио – движение вперед ». 1 вариант 2 вариант.

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Геометрическая прогрессия

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5730459


5730459

20 . ? , . : .


5730459

1 2

  • , 65 -2.

  • ,

    = 3n-1,

    n .

    3. 8;4;0;

    4. , 2 : 1;2;4;

  • , -9 4.

  • , = 4n+2,

    n .

    3.

    -5;-3;-1;

    4. , 2 : -2;6;-18;


5730459

:

  • 1

  • 3

  • 155

  • -28

  • 16; 32

  • 2

  • 79

  • 240

  • 7

  • 54;-162


4 1 2

1; 2; 4; 8; 16;

1

1*2

2*2

4*2

8*2

-2; 6; -18; 54; -162;

-2

-2 * ( -3)

6 * ( -3)

-18 * ( -3)

54 * ( -3)

4 1 2


5730459

: . n- .


5730459


5730459

, , .


5730459

, , , , .


5730459

:

) 15; 3; 5; 1

) 2; 8; 16; 64

) 1/4 ; ; 1; 2

) 1/8;1/4 ; 1; 3

) 15; 3; 5; 1

) ) 15; 3; 5; 1

) 2; 8; 16; 64

) 1/4 ; ; 1; 2

) 1/8;1/4 ; 1; 3

) 15; 3; 5; 1

) 2; 8; 16; 64

) 1/4 ; ; 1; 2

) 1/8;1/4 ; 1; 3

2; 8; 16; 64

) 1/4 ; ; 1; 2

) 1/8;1/4 ; 1; 3


5730459


5730459


5730459

q .


5730459

:

:

) 3; 6; 12; 24;

) 3; 3; 3; 3; ..

)1; 0,1; 0,01; 0,001;

q = ?


5730459

- (bn ): 2; 6; 18; 54; 3.

  • .


5730459

n-


5730459

: b6 ; b20 ; b117 ; bk ; bk+3 .


5730459

, .


5730459

1

5

,

-2, -0.5.

: -2; 1; -0,5; 0,25; - 0,125


5730459

2.

: 2; 6

: 162


5730459

3.

:

)b1 =6, q = 2

  • )b1 = - 24, q = - 1,5

    : b2, b3,b4,b5.

: ) 12, 24, 48,96;

) 36, -54, 81, -121,5


5730459

4.

b1 = 2, b5 = 162

: b2, b3,b4

: ) -6, 9, -27

) 6, 9, 27


5730459

  • , .


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!


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