Determine whether statement, 'I’ve noticed that the big difference between arithmetic and geometric sequences is that arithmetic sequences are based on addition and geometric sequences are based on multiplication'. makes sense or does not make sense, and explain your reasoning.

Determine whether statement, 'I’ve noticed that the big difference between arithmetic and geometric sequences is that arithmetic sequences are based on addition and geometric sequences are based on multiplication'. makes sense or does not make sense, and explain your reasoning.

Question
Polynomial arithmetic
asked 2021-01-27
Determine whether statement, 'I’ve noticed that the big difference between arithmetic and geometric sequences is that arithmetic sequences are based on addition and geometric sequences are based on multiplication'. makes sense or does not make sense, and explain your reasoning.

Answers (1)

2021-01-28
Step 1 We have to determine whether the given statement is true or false. As we know that in the arithmetic sequence, the difference between consecutive term is always same and in the geometric sequence, the ratio between the consecutive terms is always same. Step 2 So, the answer is YES. Arithmetic sequence is always about adding or subtracting the same constant term between the two terms and geometric sequence is always about multiplying or dividing by the same constant term. Hence, we can conclude that the given statement makes sense.
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