Write the nth term rule for the sequence 4,1,−2,−5,−8,...

joguejaseg 2022-09-27 Answered
Write the nth term rule for the sequence 4,1,−2,−5,−8,...
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Answers (1)

baselulaox
Answered 2022-09-28 Author has 8 answers
This is an arithmetic sequence as the difference d between a term and its preceding term is always −3 as - 3 = 1 - 4 = - 2 - 1 = - 5 - ( - 2 ) = - 8 - ( - 5 )
If first term is a 1 and common difference in such arithmetic sequence is d,
n t h term is given by a 1 + ( n - 1 ) × d . Hence n t h term in given series is
4 + ( n - 1 ) × ( - 3 )
4 - 3 n + 3
7 - 3 n
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