Pregunta
3.4 Is -72 a term in the sequence? Justify your answer.
Which term in the sequence
has a value of 8 ?
Which term in the sequence
Ask by Goodwin Watson. in South Africa
Dec 16,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The 31st term of the sequence is 8. -72 is not a term in the sequence.
Solución

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Como
Mind Expander
To determine if -72 is a term in the sequence given as
, we need to analyze the pattern. The sequence appears to be an arithmetic sequence where each term is generated by adding a common difference. The common difference can be calculated as
. Continuing this sequence, we can see that all terms remain negative, so -72 is not a term in the sequence.
To find which term in the sequence equals 8, we can set the nth term formula for an arithmetic sequence:
. Here,
and
. Setting
, we can solve for
:
Simplifying this gives:
So, the 31st term in the sequence has a value of 8!

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