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

CheemnCatelvew 2020-11-12 Answered
Determine whether the given sequence is arithmetic. If so, then find the common difference. $80,40,20,10,5,...$
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## Expert Answer

odgovoreh
Answered 2020-11-13 Author has 107 answers
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.
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