Write the explicit equation for the sequence 5,8,11,14

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31-01-2017
Mathematics

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Write the explicit equation for the sequence 5,8,11,14

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LammettHash LammettHash · Answer 1 · 2017-01-31T15:56:35-05:00

LammettHash LammettHash

31-01-2017

Consecutive terms differ by 3, so

\(a_n=a_{n-1}+3=a_{n-2}+2\times3=a_{n-3}+3\times3=\cdots=a_1+(n-1)\times3\)

Since the first term is \(a_1=5\), the formula for the sequence is

\(a_n=5+3(n-1)=3n+2\)

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