Explain the difference between an arithmetic sequence and a geometric sequence. Givean example of each type of sequence as part of your explanation

12) How are arithmetic and geometric sequences different?a) Arithmetic sequences have a common difference while geometric sequences have a common ratiob) Both sequences have a common ratioc) Arithmetic sequences have a common ratio while geometric sequences have a common differenced) Both sequence are defined recursively

Let be a geometric sequence.If and , what is ?

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.)

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

If the 12th term of a sequence is 144 and the 8th term is 64, is the sequence arithmetic, geometric, or neither?*GeometricNeitherArithmetic