Question

my question is if 9=100 8=143 7=162 6=165 then 5= ? what is the answer

Answer 1

The value of 5 is 160.

By calculating the first difference in between the values given, the values obtained are 43, 19, 3, and -5.

The second difference gives 24, 16 and 8.

The third difference gives 8 and 8, which are all non-zero differences.

 

So, it is a 3rd power polynomial = Ax^3  + Bx^2 + Cx  + D with equations of:

 

729A   + 81 B   + 9 C   +  D  =   100

512A   +  64B   + 8C    +  D  =   143

343A   +  49B   + 7 C     +  D  =   162

216A   +  36B  +  6C    +    D =    165

 

Therefore, the polynomial is:

(-4/3)x^2  + 20x^2  - (28/13)x  + 295

X = 5, which is evaluated as 160.

Thus, the value of 5 = 160.

Answer 2

Step-by-step explanation:

hope the diagram helps.........