Input Output
0 3
1 5
2 7
Please help, I have been working on this problem for a while now. I can't seem to figure it out!
+26387 Input Output
0 3
1 5
2 7
Please help, I have been working on this problem for a while now. I can't seem to figure it out!
\(\begin{array}{|c|c|} \hline \text{Input} & \text{Input } + 1 = \text{ Index } \\ \hline 0 & 1 \\ \hline 1 & 2 \\ \hline 2 & 3 \\ \hline \end{array}\)
Arithmetic sequence:
\(\begin{array}{rcl} a_n &=& a_1 + (n-1)\cdot d \qquad n = \text{input }+1 \qquad a_1 = 3 \qquad d= 2 \\ a_n &=& 3 + ( \text{input }+1 - 1 ) \cdot 2 \\ a_n &=& 3 + \text{input } \cdot 2 \\ \text{output } &=& 3 + \text{input } \cdot 2 \\ \end{array}\)
+129849 Guest is correct....let's see how he/she arrived at that answer
Note : the output [y] changes by 2 every time the input [x] changes by 1
And the slope of a line = change in y change in x = 2 / 1 = 2
So, using the form
y - y1 = 2 ( x - x1) we can write an equation for this line
Let (x1, y1) = any of the ( Input, Output) values....I'll use the first one.... (0, 3)...so we have...
y - 3 = 2(x - 0)
y - 3 = 2x add 3 to both sides
y = 2x + 3
Just as "guest" said......
+26387 Input Output
0 3
1 5
2 7
Please help, I have been working on this problem for a while now. I can't seem to figure it out!
\(\begin{array}{|c|c|} \hline \text{Input} & \text{Input } + 1 = \text{ Index } \\ \hline 0 & 1 \\ \hline 1 & 2 \\ \hline 2 & 3 \\ \hline \end{array}\)
Arithmetic sequence:
\(\begin{array}{rcl} a_n &=& a_1 + (n-1)\cdot d \qquad n = \text{input }+1 \qquad a_1 = 3 \qquad d= 2 \\ a_n &=& 3 + ( \text{input }+1 - 1 ) \cdot 2 \\ a_n &=& 3 + \text{input } \cdot 2 \\ \text{output } &=& 3 + \text{input } \cdot 2 \\ \end{array}\)
