... and f(5) = 12 5.Example 10 . Assuming that the following values of y belong to a polynomial of degree 4, computethe next three values:x0 1 2 3 4567y1 -11 11 −−−−CALCULUS OF FINITE DIFFERENCES 14 1PROBLEM ... 13 59 617 76 690 51 8695 14 4xyyyyyy 10 704 71 8349529 11 80000Here, sum of fifth differences is small which may be neglected 0.270 and –270 are theadjacent values which are equal in magnitude and ... Supposefor n + 1 equidistant argument values x = a, a + h, a + 2h, , a + nh, are given. 14 0COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUESSol. For the given data, difference table is:∆∆...