Find the common difference in the outputs to help find the missing outputs in the table
2 answers:
we have been given table containing 6 points.
let the numbers at question mark (?) are x and y respectivelly so we can rewrite the table as:
![\left[\begin{array}{cccccc}a&5&6&7&8&9\\b&3.8&4.6&5.4&x&y\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7Da%265%266%267%268%269%5C%5Cb%263.8%264.6%265.4%26x%26y%5Cend%7Barray%7D%5Cright%5D)
In the first row we see that numbers increase by 1 so that clearly means a=4.
Now we need to find the common difference in the outputs to help find the missing outputs in the table.
4.6-3.8=0.8
5.4-4.6=0.8
we are getting common difference of 0.8 so that means missing values can be found by adding or subtracting 0.8 as per their position.
b=3.8-0.8=3
x=5.4+0.8=6.2
y=6.2+0.8=7
Hence the final answer is given by table:
![\left[\begin{array}{cccccc}4&5&6&7&8&9\\3&3.8&4.6&5.4&6.2&7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D4%265%266%267%268%269%5C%5C3%263.8%264.6%265.4%266.2%267%5Cend%7Barray%7D%5Cright%5D)
Thank you so very much I also don’t know how to add a comment
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