An arithmetic sequence is a sequence of numbers for which the difference between two consecutive numbers applies terms is constant. So this is an arithmetic sequence with difference 65:
31,67,2,617,311,29.
The sequence of seven natural numbers 60, 70, 84, 105, 140, 210, 420 has the property that the sequence inverted numbers (i.e. the row 601, 701, 841, 1051, 1401, 2101,4201 ) is an arithmetic sequence.(a) Is there a sequence of eight different natural numbers whose inverse numbers are one form an arithmetic sequence?(b) Is there an infinite sequence of distinct natural numbers whose inverses are form an arithmetic sequence? arithmetic sequencealgebra