Mathematics
EulahDrewski414
11

nth term for the sequence: 30,27,24,21...

+1
(2) Answers
Nunia1567

[latex]a_1=30;\ a_2=27;\ a_3=24;\ a_4=21;\ ...\\\\27=30-3\to a_2=a_1-3\\24=27-3\to a_3=a_2-3\\21=24-3\to a_4=a_3-3[/latex] [latex]this\ is\ an\ arithmetic\ sequence\\\\a_n=a_1+(n-1)d\leftarrow formula\ to\ nth\ term\ of\ arithmetic\ sequence\\\\a_1=30;\ d=a_2-a_1\to d=27-30=-3\\\\subtitute:\\\\a_n=30+(n-1)\cdot(-3)=30+(n)(-3)+(-1)(-3)=30-3n+3\\\\Answer:\boxed{a_n=-3n+33}[/latex]

tiffany34

to find the nth term of a sequence use the formula: Tn= a+(n-1)d where a= first term d= common difference, Tn= nth term of the sequence  in this question a=30, d= -3 Tn= 30+(n-1)* -3 Tn= 30+-3(n-1) Tn= 30-3n+3 Tn= -3n+33

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