Tell whether the sequence 12, 4, -4, -12, -20, .... is arithmetic. Explain your reasoning.

Tammy Todd 2021-05-12 Answered
Tell whether the sequence 12, 4, -4, -12, -20, .... is arithmetic. Explain your reasoning.
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Expert Answer

Macsen Nixon
Answered 2021-05-13 Author has 117 answers
We know that in arithmetic sequnce the common difference we can calculate
d=a2a1=a3a2=...anan1
To check if the given sequence is arithmetic, consider first difference. The following is true
d=a2a1=a3a2=a4a3=a5a4
8=412=44=12+4=20+12
Since the first difference is constant it implies that the given sequence is arithmetic.
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