62,57,52,47,42,ldots

This question involves identifying the pattern in a sequence of numbers and predicting the next number(s) in the sequence. The given sequence is 62, 57, 52, 47, 42, ...To find the pattern, we observe the differences between consecutive numbers:- 62 - 57 = 5- 57 - 52 = 5- 52 - 47 = 5- 47 - 42 = 5The difference between each number and the one following it is consistently 5. This indicates that the sequence is an arithmetic sequence where each term is 5 less than the previous term.The formula for the nth term of an arithmetic sequence is given by: where is the first term, is the term number, and is the common difference between the terms.In this case, and (since each term is 5 less than the previous one).To find the next term (the 6th term) in the sequence, we set and use the formula: