A recursive rule for an arithmetic sequence is a1=-3; an=an-1+7. What is an explicit rule for this sequence? Enter your answer in the box

Question

Mathematics

Sumo

7 March, 16:14

A recursive rule for an arithmetic sequence is a1=-3; an=an-1+7. What is an explicit rule for this sequence? Enter your answer in the box

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Answers (1)

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Kristian Sampson · Answer 1

An=a1+d (n-1)

a1=firs term

d=common difference

so

a1=-3

an=-3+d (n-1)

notice

an=a (n-1) + 7

a2=a1+7

so therfor the common differece is 7

an=-3+7 (n-1)

an=-3+7n-7

an=-10+7n