Math+Paper+6+investigation

7x + 11y = 100

56+44=100 X= 8 Y= 4 -21+121= 100 X= -3 Y= 11 210+ -110 = 100 X= 30 Y= -10 749+ -649 = 100 X= 107 Y= -59 133+ -33 = 100 X= 19 Y= -3 287+ -187= 100 X= 41 Y= -17

Value of X 11n(-14) -3 8 19 30 41 107

I got the sequence -3,8 19 30 41 with my rule I will be able to fine the 20th sequence of this pattern. To be able to get the 20th sequence I will do this process 11x20= 220-14 = 206

Value of Y 7n(-24) -59 -17 -10 -3 4 11

I got the sequence -17,-10,-3,4,11 with my rule I will be able to fine the 20th sequence of this pattern. To be able to get the 20th sequence I will do this process 7*20 = 140 - 24 = 116

= = =**The same sequence of numbers way around**=

Value of X -11n (+52)

41 30 19 8 -3

I got the sequence 41,30,19,8,-3 with my rule I will be able to fine the 20th sequence of this pattern. To be able to get the 20th sequence I will do this process 20*-11= -220 + 52 = -168

Value of Y -7n (+18)

11 4 -3 -10 -17

I got the sequence 11,4,-3,-10,-17 with my rule I will be able to fine the 20th sequence of this pattern. To be able to get the 20th sequence I will do this process 20*-7= -140+18 = -122

Final rule

7(11n - 14 ) + 11(-7n+18) = 100

11-14 =-3*7 =-21

-7+18=11*11 = 121

-21+121= 100

This time I will try the rule with n = -2 7(-22-14) + 11(14+18) = 100

-22-14 =-36 -36*7 = -252

14+18= 32*11 = 352

-252 + 352 = 100