Question

find the value of 5
if
9= 100
8=143
7=162
6=165
5=?​

Answer 1

the value of 5 is 160

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

the second difference given 24, 16, and 8

the third difference gives 8 and 8 which are all non zero differences

so it is a third power polynomial =

Ax³+Bx²+Cx+D with equations of.

729A +81B +9C +D=100

512 A +64B+8C+D=143

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

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

The polynomial is

-4/3x²+20x²-28/13x+295

x=5 which is evaluated as 160

thus the value of 5=160

please mark this answer the brainliest