Practise the method.Example 1A sequence follows un=an2+b, with constant a and b. Its first three terms are 8,23,48. Find its fifth term.Show worked answerAnswer: 128The second difference is 10a=5.The first term gives b=3.Then u5=25×5+3.Example 2An arithmetic sequence starts at 3 and increases by 4. Which term equals 35?Show worked answerAnswer: 9Solve 3+(n−1)4=35.This gives n=9.Example 3A sequence follows un=an2+b, with constant a and b. Its first three terms are 10,28,58. Find its fifth term.Show worked answerAnswer: 154The second difference is 12a=6.The first term gives b=4.Then u5=25×6+4.