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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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,

$n}^{th$ term is given by ${a}_{1}+(n-1)\times d$. Hence $n}^{th$ term in given series is

$4+(n-1)\times (-3)$

$4-3n+3$

$7-3n$

If first term is $a}_{1$ and common difference in such arithmetic sequence is d,

$n}^{th$ term is given by ${a}_{1}+(n-1)\times d$. Hence $n}^{th$ term in given series is

$4+(n-1)\times (-3)$

$4-3n+3$

$7-3n$

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