Determine whether the given sequence is arithmetic. If so, then find the common difference. 80, 40, 20, 10, 5,...

Question
Polynomial arithmetic
asked 2020-11-12
Determine whether the given sequence is arithmetic. If so, then find the common difference. \(80, 40, 20, 10, 5,...\)

Answers (1)

2020-11-13
Step 1 Given: The sequence, \(80, 40, 20, 10, 5,...\) Step 2 To check it is arithmetic sequence, calculate the common difference \(d = a_2 - a_1\)
\(= 40 - 80\)
\(= -40\)
\(d = a_3 - a_2\)
\(= 20 - 40\)
\(= -20\) Since, the common difference d is not same. The given sequence is not arithmetic.
0

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