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+//Eg-10.5
+//pg-437
+
+clear
+clc
+close()
+
+X = [0;5;10;15];
+
+Y = [53;127;213;378];
+
+T = zeros(4,4);
+
+T(:,1) = Y;
+
+for(j = 2:4)
+ for(i = 1:4+1-j)
+ T(i,j) = T(i+1,j-1) - T(i,j-1);
+ end
+end
+
+//disp(T)
+
+// Using Gauss backward formula
+
+//p3 = f + d*A + d2*A(A+1)/2 + d3*A*(A-1)*(A+1)/6
+
+//Note that 'alpha' is replaced by A and 'small delta' by d
+
+f = T(3,1);
+d = T(2,2);
+d2 = T(2,3);
+d3 = T(1,4);
+
+A = (7-10)/5;
+
+p37 = f + d*A + d2*A*(A+1)/2 + d3*A*(A-1)*(A+1)/6;
+
+printf('Therefore, the number of houses after seven years is %d\n',p37)