3 years ago

Complete the recursive formula of the arithmetic sequence-3,-1,1,3, b(1)=b(n) = b(n-1)+

Mathematics

1 answer:

ratelena [41]3 years ago

3 0

Answer:

b(1) = -3

b(n) = b(n-1) + 2

Step-by-step explanation:

Notice that there is a common difference in the sequence : each term is the previous one PLUS 2. Then the common difference "d" is 2 making this sequence an arithmetic sequence

b(1) = -3

b(n) = b(n-1) + 2

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The question is in the image that is attached :)

laila [671]

So hmm check the picture below

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
variation
\end{array}\\\\
-------------------------------\\\\
\textit{we know that }
\begin{cases}
x=3\\
y=1
\end{cases}\implies 1=k3\implies \cfrac{1}{3}=k
\\\\\\
thus\qquad \qquad y=\cfrac{1}{3}x$