MATH SOLVE

4 months ago

Q:
# Drag each sequence to the correct location on the table.Consider the given sequences. Place each sequence in the appropriate column in the table3, 8, 13, 18,..5, 10, 20, 40,...2,6, 18, 54,...5, 10, 20, 30,...4, 8, 12, 16,...ArithmeticGeometricNeither Arithmeticnor GeometricResetNext

Accepted Solution

A:

Answer:Arithmetic: 3, 8, 13, 18,... , 4, 8, 12, 16,...Geometric: 4, 8, 12, 16,... , 2,6, 18, 54,... Neither: 5, 10, 20, 30,... Step-by-step explanation:An arithmetic sequence is a sequence that grows by addition, a geometric sequence is one that grows by multiplication.3, 8, 13, 18,... is arithmetic because you add 5 each time to find the next term of the sequence.5, 10, 20, 40,... is geometric because you multiply the previous term by a factor of 2 each time to find the next nerm of the sequence.2,6, 18, 54,... is geometric because you multiply the previous term by a factor of 3 each time to find the next nerm of the sequence.5, 10, 20, 30,... is neither because it does not follow the pattern set by the rules of geometric or arithmetic sequences.4, 8, 12, 16,... is arithmetic because you add 4 each time to find the next term of the sequence.