]> Exercise 0.6

Exercise 0.6

Set this up on your own machine.

Solution:

=-2

=A1+1

=B1+1

=C1+1

=D1+1

=E1+1

=F1+1

=A1+1

1

         

=A2+1

 

=C2*C$1+B2

=D2*D$1+C2

=E2*E$1+D2

=F2*F$1+E2

=G2*G$1+F2

=A3+1

 

=C3*C$1+B3

=D3*D$1+C3

=E3*E$1+D3

=F3*F$1+E3

=G3*G$1+F3

=A4+1

 

=C4*C$1+B4

=D4*D$1+C4

=E4*E$1+D4

=F4*F$1+E4

=G4*G$1+F4

=A5+1

 

=C5*C$1+B5

=D5*D$1+C5

=E5*E$1+D5

=F5*F$1+E5

=G5*G$1+F5

=A6+1

 

=C6*C$1+B6

=D6*D$1+C6

=E6*E$1+D6

=F6*F$1+E6

=G6*G$1+F6

=A7+1

 

=C7*C$1+B7

=D7*D$1+C7

=E7*E$1+D7

=F7*F$1+E7

=G7*G$1+F7

=A8+1

 

=C8*C$1+B8

=D8*D$1+C8

=E8*E$1+D8

=F8*F$1+E8

=G8*G$1+F8

=A9+1

 

=C9*C$1+B9

=D9*D$1+C9

=E9*E$1+D9

=F9*F$1+E9

=G9*G$1+F9

=A10+1

 

=C10*C$1+B10

=D10*D$1+C10

=E10*E$1+D10

=F10*F$1+E10

=G10*G$1+F10

=A11+1

 

=C11*C$1+B11

=D11*D$1+C11

=E11*E$1+D11

=F11*F$1+E11

=G11*G$1+F11

=A12+1

 

=C12*C$1+B12

=D12*D$1+C12

=E12*E$1+D12

=F12*F$1+E12

=G12*G$1+F12

=A13+1

 

=C13*C$1+B13

=D13*D$1+C13

=E13*E$1+D13

=F13*F$1+E13

=G13*G$1+F13

=A14+1

 

=C14*C$1+B14

=D14*D$1+C14

=E14*E$1+D14

=F14*F$1+E14

=G14*G$1+F14

=A15+1

 

=C15*C$1+B15

=D15*D$1+C15

=E15*E$1+D15

=F15*F$1+E15

=G15*G$1+F15

=A16+1

 

=C16*C$1+B16

=D16*D$1+C16

=E16*E$1+D16

=F16*F$1+E16

=G16*G$1+F16

=A17+1

 

=C17*C$1+B17

=D17*D$1+C17

=E17*E$1+D17

=F17*F$1+E17

=G17*G$1+F17

=A18+1

 

=C18*C$1+B18

=D18*D$1+C18

=E18*E$1+D18

=F18*F$1+E18

=G18*G$1+F18

=A19+1

 

=C19*C$1+B19

=D19*D$1+C19

=E19*E$1+D19

=F19*F$1+E19

=G19*G$1+F19

=A20+1

 

=C20*C$1+B20

=D20*D$1+C20

=E20*E$1+D20

=F20*F$1+E20

=G20*G$1+F20

   

=C21*C$1+B21

=D21*D$1+C21

=E21*E$1+D21

=F21*F$1+E21

=G21*G$1+F21

which becomes

-2

-1

0

1

2

3

4

5

6

7

-1

1

               

0

 

1

0

0

0

0

0

0

0

1

 

0

1

0

0

0

0

0

0

2

 

0

1

1

0

0

0

0

0

3

 

0

1

3

1

0

0

0

0

4

 

0

1

7

6

1

0

0

0

5

 

0

1

15

25

10

1

0

0

6

 

0

1

31

90

65

15

1

0

7

 

0

1

63

301

350

140

21

1

8

 

0

1

127

966

1701

1050

266

28

9

 

0

1

255

3025

7770

6951

2646

462

10

 

0

1

511

9330

34105

42525

22827

5880

11

 

0

1

1023

28501

145750

246730

179487

63987

12

 

0

1

2047

86526

611501

1379400

1323652

627396

13

 

0

1

4095

261625

3E+06

7508501

9321312

5715424

14

 

0

1

8191

788970

1E+07

40075035

63436373

49329280

15

 

0

1

16383

2E+06

4E+07

2.11E+08

4.21E+08

408741333

16

 

0

1

32767

7E+06

2E+08

1.1E+09

2.73E+09

3281882604

17

 

0

1

65535

2E+07

7E+08

5.65E+09

1.75E+10

25708104786

18

 

0

1

131071

6E+07

3E+09

2.9E+10

1.11E+11

1.97462E+11

19

 

0

1

262143

2E+08

1E+10

1.48E+11

6.93E+11

1.49292E+12