How do you work out a sequence by having the nth term
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Answer:
see explanation
Step-by-step explanation:
given [tex]a_{n}[/tex] = 8 - n
To calculate the first 3 terms substitute n = 1, 2, 3 into the formula
[tex]a_{1}[/tex] = 8 - 1 = 7
[tex]a_{2}[/tex] = 8 - 2 = 6
[tex]a_{3}[/tex] = 8 - 3 = 5
the first 3 terms are 7, 6, 5
the first negative value will occur when n > 8, that is 9
[tex]a_{9}[/tex] = 8 - 9 = - 1 ← first negative term