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:
[tex]\left[\begin{array}{cccccc}a&5&6&7&8&9\\b&3.8&4.6&5.4&x&y\end{array}\right][/tex]
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:
[tex]\left[\begin{array}{cccccc}4&5&6&7&8&9\\3&3.8&4.6&5.4&6.2&7\end{array}\right][/tex]
