A sequence  that involves a common difference in identifying the succeeding terms.Question 17Select one:a.Geometric Progressionb.Arithmetic Progression

A sequence is such that, the difference between successive terms form an arithmetic progression, then its nth term is given by:

8) In a geometric sequence, what remains constant?a) The product of consecutive termsb) The ratio between consecutive termsc) The difference between consecutive termsd) The sum of consecutive terms

The first four terms of a sequence are given. Determine whether these terms can be the terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic or geometric, find the next term.(a)    9, −9, 9, −9,   arithmeticgeometric    neither arithmetic or geometricIf the sequence is arithmetic or geometric, find the next term. (If the sequence is neither, enter DNE.) (b)    5, 35, 65, 1,   arithmeticgeometric    neither arithmetic or geometricIf the sequence is arithmetic or geometric, find the next term. (If the sequence is neither, enter DNE.) (c)    2, −1, 12, 2,   arithmeticgeometric    neither arithmetic or geometricIf the sequence is arithmetic or geometric, find the next term. (If the sequence is neither, enter DNE.) (d)    x − 1, x, x + 1, x + 2,   arithmeticgeometric    neither arithmetic or geometricIf the sequence is arithmetic or geometric, find the next term. (If the sequence is neither, enter DNE.)

The third, fifth and seventeenth terms of an arithmetic progression are in geometric progression. Find the common ratio of the geometric progression.

Arithmetic Progressions