Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
7. Arithmetic Sequences
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Exercise 58 Page 280

A sequence is arithmetic if the difference between two consecutive terms is constant.

Is the Sequence Arithmetic? No.
Explanation: See solution.

Practice makes perfect

When a sequence is arithmetic, the difference between two consecutive terms is constant. Let's see if this is the case for the given sequence. 46 +( - 15) ⟶ 31 +( - 15) ⟶ 16 +( - 14) ⟶ 2 ⟶ ... As we can see, the difference between consecutive terms is not constant. Therefore, the sequence is not arithmetic.