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25. is the following sequence arithmetic? if so, identify the common di…

Question

  1. is the following sequence arithmetic? if so, identify the common difference. -73, -44, -15, 14,... options: yes, -31; yes, 29; yes, -29; no

Explanation:

Step1: Calculate first difference

$(-44) - (-73) = 29$

Step2: Calculate second difference

$(-15) - (-44) = 29$

Step3: Calculate third difference

$14 - (-15) = 29$

Step4: Verify arithmetic sequence

Since all differences are equal ($29$), the sequence is arithmetic with common difference $29$.

Answer:

Yes; 29