Which recursive formula can be used to define this sequence for n > 1?−8,4,16,28,40,52,…Choices:(A) an=7an−1(B) an=121an−1(C) an=an−1+an−2+12(D) an=an−1+12
Q. Which recursive formula can be used to define this sequence for n>1?−8,4,16,28,40,52,…Choices:(A) an=7an−1(B) an=121an−1(C) an=an−1+an−2+12(D) an=an−1+12
Given Sequence Type: We have: −8, 4, 16, 28, 40, 52, ...\ Is the given sequence geometric or arithmetic?\ The difference between consecutive terms is the same.\ The given sequence is arithmetic.
Find Common Difference:−8,4,16,28,40,52,… Find the common difference, d. Two consecutive terms are −8 and 4.4−(−8)=12 Common difference (d): 12
Identify Recursive Formula:−8,4,16,28,40,52,…Identify the recursive formula for the given sequence.Substitute 12 for d in an=a(n−1)+d.Recursive formula: an=a(n−1)+12
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