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Viefleur [7K]
3 years ago
12

Find the first 4 terms of the Arithmetic sequence. f(n) = f(n-1) + 5 f(1) = -2

Mathematics
1 answer:
nexus9112 [7]3 years ago
5 0
<span>f(n) = f(n-1) + 5   simply means

the next term or f(n), will have a value of
the one before it, or f(n-1), +5

so.. you're looking for the 4th term, that means f(4)
to get 4th term then, that will be the 3rd term plus 5,
whatever the 3rd term is

now... f(1) = -2, simply means, the term 1, or f(1), or first term, is -2

now to find a term value in an arithmetic sequence </span>\bf f(n)=f(1)+(n-1)d\\\\&#10;\begin{cases}&#10;n=n^{th}\ term\to &4\\&#10;f(1)=\textit{first term}\to &-2\\&#10;d=&#10;\begin{array}{llll}&#10;\textit{common difference, or amount}\\&#10;\textit{added to get the next term}&#10;\end{array}\to &5&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;thus&#10;\\\\&#10;f(4)=f(1)+(4-1)5

and I'm sure you know what f(1) is, so, just plug it in, to get f(4), or 4th term
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Answer:

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Step-by-step explanation:

The slope of a line passing through points (x_1, y_1) and (x_2, y_2) is:

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Plugging in any two points in the table we have:

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<u />m=\frac{1-5}{2-0}=\frac{-4}{2}=\fbox{$-2$}<u />

<u>Second problem:</u>

<u />m=\frac{-1-5}{2-0}=\frac{-6}{2}=\fbox{$-3$}<u />

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